biographical data - louis h. kauffmanhomepages.math.uic.edu/~kauffman/lkvita.pdf · (17)winner of...

Biographical Data - Louis H. Kauffman

1. Education

(1) Ph.D., Princeton University, 1972 (Advisor - William Browder)(2) B.S., Massachusetts Institute of Technology, 1966

2. Employment and Teaching

(1) Visiting Researcher and Head of Research Grant at Department of Mechanics and Mathematics, Novosi-birsk State University, Novosibirsk, Russia. (4 months per year for 2018/2019/2020). Laboratory ofTopology and Dynamics, Novosibirsk State University (contract no. 14.Y26.31.0025 with the Ministry ofEducation and Science of the Russian Federation).

(2) Visiting Researcher at NTUA, Athens in various periods from 2005 to the present. Supported in 2011 to2015 by the research project THALES “Algebraic modeling of topological and computational structuresand applications” MIS 380154 with Scientific Coordinator Sofia Lambropoulou.

(3) Visiting Researcher in Xiamen China, June 2016, June 2019.(4) Visiting Resaercher National Technical University Athens, July 2017.(5) Visiting Researcher in Pune and Varanasi, India, December 2016(6) Visiting Researcher at National Technical University Athens, July 2016.(7) Visiting Researcher (Research in Pairs for Four - L. Kauffman, S. Lomonaco, J. Przytycki and R. Or-

wczarek) ) at MFO - Mathematisches Research Institute Oberwolfach, June 2015.(8) Visiting Researcher at National Technical University Athens, July 2015.(9) Visiting Researcher Singapore,May 2015

(10) Visiting Researcher at National Technical University Athens, July 2014.(11) Visiting Researcher at Mathematisches Institute Oberwolfach, June 2014 (Research in Pairs with Vassily

Manturov)(12) Visiting Researcher at National Technical University Athens, June 2013.(13) October 1, 2012 - December 24, 2012. Visiting researcher at Isaac Newton Institute, Cambiridge, UK in

the program “Topological Dynamics in the Physical and Biological Sciences”.(14) June 2012 - Organizer of Conference on Low Dimensional Topology at MFO - Mathematisches Research

Institute Oberwolfach and then participant in a Research in Pairs at MFO with Vassily Manturov for twoweeks

(15) May 2012, Visiting Professor, Moscow State University, Russia.(16) December 2011, Research in Pairs at MFO - Mathematisches Research Institute Oberwolfach with Sofia

Lambropoulou and Dorothy Buck.(17) May 2011, Visiting Lecturer in Program on Knots and Applications at the University of Pisa and Centro

di Georgi in Pisa, Italy. Lecturer in Course on Combinatorial Knot Theory and Organizer of Workshop onTopological Quantum Computing.

(18) July 2011, Visiting researcher at Imperial College London, Dept. of Mathematics and University of Not-tingham, Dept. of Physics.

(19) July 18 to July 31, 2010, Visiting Researcher (in program for research in pairs with Sofia Lambropoulou)at MFO - Mathematisches Research Institute Oberwolfach.

2 BIOGRAPHICAL DATA - LOUIS H. KAUFFMAN

(20) July 15-17, 2010, Visiting Researcher at Kavli Institute, UK.(21) June 6 - 11, 2010, Visiting Researcher at Institute Daghstuhl Germany.(22) June 14 - 21, 2009, Visiting Researcher at NTUA - National Technical University Athens(23) June 1 - 13, 2009, Visiting Research (in program for research in pairs with Vassily Manturov) at MFO -

Mathematisches Research Institute Oberwolfach.(24) May 2009, Director of Summer School and Conference on Knot Theory, The International Center for

Theoretical Physics in Trieste, May 11 - May 29, 2009.(25) July 2008, Visiting Researcher, Instituto Superior Tecnico (IST) Lisbon.(26) July 2008, Visiting Researcher, Max Planck Insitute, Leipzig, Germany(27) June 2008, Visiting Researcher, National Technical University, Athens, Greece(28) May 2008, Visiting Researcher, Mathematiches Institute, Oberwolfach, Germany(29) August 8-24, 2007 Visiting Lecturer in The 17th JyvŁskylŁ Summer School, JyvŁskylŁ, Finland.(30) July 7-18, 2007, Visiting Researcher at Univ de Pernambuco, Recife, Brazil.(31) May 29 to June 13, 2006. Visiting Researcher at NTUA, Athens, Greece.(32) May 13 to May 26,2007 Visiting Researcher ICTP, Trieste.(33) January 2-14,2007 Visiting Researcher at Univ de Pernambuco, Recife, Brazil.(34) December 10-15, 2006, Visiting Researcher at Perimeter Institute, Waterloo Canada.(35) October 24 to November 3, 2006. Visiting Researcher at NTUA, Athens, Greece.(36) June 10 to June 23, 2006 Visiting Researcher at NTUA, Athens, Greece.(37) May 31 to June 10, 2006 Visiting Researcher at Institituto Superior Tecnico, Lisbon, Portugal.(38) May 14 to May 27, 2006, Visiting Researcher (Research in Pairs with V. Manturov) at Oberwolfach Insti-

tute.(39) December 2005, Visiting Researcher, NTUA, Athens.(40) July 2 to July 22, 2005, Visiting Researcher, ISI, Torino.(41) May 2005, Visiting Researcher, Independent University, Moscow.(42) May 14 to May 27, 2005, Visiting Researcher (Research in Pairs with S. Lambropoulou) at Oberwolfach

Institute.(43) December 2004, Visiting Researcher, ISI, Torino(44) December 2004, Visiting Researcher, Universite Littoral, Calais, France(45) November 2004 and December 2004, Visiting Researcher, Newton Institute, Cambridge, England(46) October 2004, Visiting Professor Academica Sinica, Taiwan(47) October 2004, Visiting Professor Nankai Institute, Tianjin, China(48) May 2004, Visiting Professor ,IUM, Moscow, Russia(49) May 2004, Visiting Professor Universite de Caen, Caen, France(50) September 2003 - August 2004, Visiting Professor, University of Waterloo and Perimeter Institute for

Theoretical Physics, Waterloo, Canada.(51) January 2002 - July 2002, Visiting Professor, Stanford University and SLAC Physics Theory Group, Stan-

ford, CA.(52) August 2001 - Visiting Researcher, NCTS - National Center for Theoretical Sciences, National Tsing-Hua

University Hsinchu, Taiwan.(53) July 2001 - Visiting Lecturer, SUNY Potsdam - NSF Undergraduate Research Program.(54) June 2001 - Visiting Researcher National Technical University, Athens, Greece.(55) Fall 2000 - Visiting Researcher at Newton Institute, Cambridge, UK(56) August 2000 - Visiting Researcher National Technical University, Athens, Greece.(57) August 2000 - Visiting Researcher, Academica Sinicam, Taipei, Taiwan and National Center for Theoreti-

cal Sciences, Hsinchu, Taipei.(58) June and July 2000 - Visiting Professor, State University of New York at Potsdam, Potsdam, New York.(59) June 2000 - Visiting Lecturer, University of Pisa, Pisa Italy(60) December 1999 - Visiting Professor, Mathematics Dept., Univ. Littoral, Calais, France.(61) July 1999 - Visiting Researcher, Institute for Theoretical Physics, Academica Sinica, Taipei, Taiwan and

Physics Instutute, National Tsing Wa Univversity, Hsinching, Taiwan

BIOGRAPHICAL DATA - LOUIS H. KAUFFMAN 3

(62) June 1999 - Visiting Researcher, Institute for Theoretical Physics, University of California at Santa Barbara(63) October-November 1998 - Visiting Researcher at Mittag-Leffler Institute, Djursholm, Sweden(64) August 1998 - Visiting Researcher Physics Dept. Frei Universitat, Berlin, Gemany(65) Fall 1997 - Visiting Professor at Institut Henri Poincare, Paris, France.(66) Summer 1997 - Visiting Professor at the University of Queensland, Brisbane, Australia.(67) Summer 1996- Visiting Lecturer at Centre de Recerca Mathematica, Bellaterrra, Spain, July 1996.(68) Summer 1995 - Visiting Professor at Univ. de Pernambuco, Recife, Brasil.(69) Fall 1993 - Visiting Professor at University College, Swansea,Wales.(70) Summer 1992 - Member of the Isaac Newton Institute for Mathematical Sciences, Cambridge, England(71) Summer 1992 - Visiting Professor at the Univ. de Pernambuco, Recife, Brasil.(72) Fall 1991 - Member of the Research Institute for Mathematical Sciences (RIMS), Kyoto Univ., Kyoto,

Japan.(73) Spring 1991 - Member, MSRI-Berkeley, CA.(74) Dec. 1990 - Visiting Professor at the Steklov Institute, Leningrad, USSR(75) Winter 1989 - Member, MSRI-Berkeley, CA.(76) 1988-1989 - Visiting Professor, IHES-Bures Sur Yvette, France.(77) Summer 1987 - Visiting Professor , Univ. de Pernambuco, Recife, Brasil(78) W/Fall 1986 - Visiting Professor, Univ. of Iowa, Iowa City, Iowa.(79) Fall 1985 - Visiting Professor, ISI and Univ Politiecnico, Torino, Italy.(80) Fall 1985 - Visiting Professor, Univ. di Bologna, Bologna, Italy.(81) Winter 1984- Visiting Professor, Univ. de Zaragoza, Zaragoza, Spain.(82) Summer 1980-81 - Visiting Lecturer, Naropa Institute, Boulder, Colorado.(83) 1976-1977 - Visiting Professor, Univ. of Michigan, Ann Arbor, Michigan.(84) Summers 1973,1975,1978,1980-82 - Visiting Scholar, Univ. of Calif. at Berkeley.(85) 1984-1987 - Visiting Professor (five courses over this period) School of the Art Institute, Chicago, Ill.(86) 1984-85,1989 - Lecturer , Adler Planetarium, Chicago, Illinois.(87) 2017- present Professor Emeritus , Univ. of Illinois at Chicago.(88) 1985-2017 Professor , Univ. of Illinois at Chicago.(89) 1977-1985 - Associate Professor, Univ. of Illinois at Chicago.(90) 1971-1977 - Assistant Professor , Univ. of Illinois at Chicago.(91) 1969-1970 - Teaching Assistant, Princeton Univ., Princeton, New Jersey.

3. Professional Honors

(1) Woodrow Wilson Fellow (Honorary), 1968(2) National Science Foundation Fellow, 1966-1969(3) Princeton National Fellow, 1966-1969(4) Lester R. Ford Award of the Mathematical Association of America (1978) in expository writing for the

article (with T. Banchoff) ”Immersions and Mod-2 Quadratic Forms” (American Mathematical Monthly84, (1977), pp. 168-185).

(5) Speaker in AMS Short Course on Knot Theory and Natural Science, AMS Meeting, Baltimore, Maryland,January 1992.

(6) Invited hour address at AMS meeting, Dayton, Ohio, November 1992.(7) Warren McCulloch Memorial Award for Outstanding Contributions to the Field of Cybernetics - 1993

(awarded by the American Society for Cybernetics)(8) University Scholar Award - University of Illinois at Chicago, 1993-1996.(9) Visiting Lecturer, The Fifth William J. Spencer Lecture, Kansas State University, Manhattan, Kansas,

March 8, 1994.(10) Invited Hour Address at AMS Meeting in Mexico, October 1994.(11) Invited Lecturer-”The Porcelli Lectures”, Louisiana State University, Oct. 5-9, 1995.


(12) Organizer and Speaker in AMS Short Course - The Interface of Knots and Physics - San Francisco, January1995.

(13) Recipient of the Alternative Natural Philoshopy Association Award for 1996.(14) Invited Lecturer -”Poincare Lectures” Fields Institute, Toronto, April 8-9, 1996.(15) Invited Lecturer- ”33rd KAM Lecture” Charles University, Prague, March 1999.(16) Speaker in AMS Short Course on Quantum Computing - Washington, D.C., January 2000.(17) Winner of best Conference Paper with ”Time imaginary value, paradox sign and space” in Computing

Anticipatory Systems, CASYS - Fifth International Conference, Liege, Belgium (2001) ed. by DanielDubois, AIP Conference Proceedings Volume 627 (2002).

(18) Kent Nagle Lecturer, University of South Florida, February 15-19,2006.(19) Heinz von Foerster Lecture, University of Vienna, Austria, November 11-14, 2006.(20) James Simons Lecturer, University of the State of New York at Stony Brook, November 16-22, 2006.(21) President of the American Society for Cybernetics, 2005-2008.(22) MAA Polya Lecturer, 2008 - 2010.(23) Norbert Wiener Gold Medal from the American Society for Cybernetics - 2014.(24) Fellow of the American Mathematical Society - 2014.(25) Lester R. Ford and Paul Halmos Award of the Mathematical Association of America (2015) in expository

writing for the article (with Allison Henrich) “Unknotting Unknots.”Amer. Math. Monthly 121 (2014),no. 5, 379 - 390.

(26) Bertalanffy prize for oustanding work in complexity thinking (2016).(27) Invited Hour Address at AMS and Indian Mathematical Society Meeting, Varanasi, India, December 2016.

4. Professional Organizations

Member of(1) AMS(2) MAA(3) Sigma Xi(4) American Society for Cybernetics, (President, 2005 - 2008).

5. Editorships

(1) Editor-in-Chief and Founding Editor, Journal of Knot Theory and its Ramifications, World Scientific Pub-lishers (1991- present)

(2) Editor of Book Series on Knots and Everything, World Scientific Publishers (1991- present)(3) Associate Editor Annals of Combinatorics(4) Member, Editorial Board of the Journal – Cybernetics and Human Knowing , 1995- present (Kauffman

also writes a column for this journal entitled ”Virtual Logic”)

6. Grant Support

(1) NSF Grant GP 28487 (V. Guggenheim, PI), 1971-1972(2) NSF Grant MPS 73-088855-A02, 1975-1978(3) NSF Grant DMS-8701772, 1987-1989(4) NSF Grant DMS-8822602, 1989-1991(5) NSF Grant DMS-9205277, 1992-1994(6) NSF Grant DMS-2528707, 1995-1998(7) NSF Grant DMS-9802859, 1998-2001(8) Subcontract - Program in Mathematics and Molecular Biology, University of California at Berkeley,Berkeley,

Calif. (1989-2000)(9) UIC University Scholar Grant 1994-1997.


(10) NSA Grant -Knots and Graphs- MDA904-97-1-0015, 1997-1999(11) CoPI - Quantum Computing - Darpa Grant , 2001 - 2005.(12) 2003-2007 NSF Grant DMS-0245588 (Virtual Knot Theory)(13) 2009-2010 NSF Award DMS-0925541 (Travel Support for ICTP Conference)(14) 2016 - 2020 Simons Foundation - Collaboration Grant for Mathematicians.

7. Selected Publications

7.1. Papers.(1) Scattering of electromagnetic waves from two concentric spheres when the outer shell has a variable re-

fractive index. (with M. Kerker and W. Farone), Journal of the Optical Society of America. 56 (1966),1053-1056.

(2) Cyclic branched coverings and 0(n)-manifolds. Proceedings of the Second Conference on Compact Trans-formation Groups (Univ. Massachusetts, Amherst, Mass., 1971), Part I, pp. 416–429. Lecture Notes inMath., Vol. 298, Springer, Berlin, 1972.

(3) An invariant of link concordance. Proc. Topology Conf. Virginia Polytech. Inst. and State Univ., ed. byRaymond R. Dickman Jr. and Peter Fletcher, Lecture Notes in Math., Vol. 375, Springer Verlag, Berlin,1973, pp. 153-157.

(4) Link manifolds and periodicity. Bull. Amer. Math. Soc. 79 (1973), 570–573.(5) Link manifolds. Michigan Math. J. 21 (1974), 33–44.(6) Products of knots. Bull. Amer. Math. Soc. 80 (1974), 1104–1107.(7) An invariant of link concordance. Topology Conference (Virginia Polytech. Inst. and State Univ., Blacks-

burg, Va., 1973), pp. 153–157. Lecture Notes in Math., Vol. 375, Springer, Berlin, 1974.(8) Branched coverings, open books and knot periodicity. Topology 13 (1974), 143–160.(9) Periodicity of branched cyclic covers. (with Alan Durfee) Math. Ann. 218 (1975), no. 2, 157–174.

(10) Signature of links. (with L. Taylor) Trans. Amer. Math. Soc. 216 (1976), 351–365.(11) Differential geometry of the torus and torus knots. (with Steve Jordan) Delta (Waukesha) 6 (1976), no. 1,

1–15.(12) A central example seminar. (with Steve Jordan) Internat. J. Math. Ed. Sci. Tech. 7 (1976), 351-365.(13) Immersions and mod-2 quadratic forms. (with Tom Banchoff) Amer. Math. Monthly 84 (1977), no. 3,

168–188.(14) Products of knots, branched fibrations and sums of singularities. (with Walter Neumann) Topology 16

(1977), no. 4, 369–393.(15) Signature of branched fibrations. Knot theory (Proc. Sem., Plans-sur-Bex, 1977), pp. 203–217, Lecture

Notes in Math., 685, Springer, Berlin, 1978.(16) Twist spinning revisited. (with Deborah Goldsmith) Trans. Amer. Math. Soc. 239 (1978), 229–251.(17) Weaving patterns and polynomials. Topology Symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen,

Siegen, 1979), pp. 88–97, Lecture Notes in Math., 788, Springer, Berlin, 1980.(18) Planar surface immersions. Illinois J. Math. 23 (1979), no. 4, 648–665.(19) The Conway polynomial. Topology 20 (1981), no. 1, 101–108.(20) Levine’s theorem - a remark. Low-Dimensional Topology (Bangor, 1979), pp. 67–69, London Math. Soc.

Lecture Note Ser., 48, Cambridge Univ. Press, Cambridge-New York, 1982.(21) The Arf invariant of classical knots. Combinatorial methods in topology and algebraic geometry (Rochester,

N.Y., 1982), 101–116, Contemp. Math., 44, Amer. Math. Soc., Providence,R.I.(22) Combinatorics and knot theory. Low-dimensional topology (San Francisco, Calif., 1981), 181–200, Con-

temp. Math., 20, Amer. Math. Soc., Providence, R.I., 1983.(23) Transformations in special relativity. Intl. J. Theo. Phys. 24 (1985), 223=236.(24) State Models and the Jones Polynomial, Topology 26 (1987), pp. 395-407.(25) New invariants in the theory of knots. Asterisque Vol. 163-164 (1988) 137 - 219 and Amer. Math. Monthly

Vol. 95, No. 3. March (1988) 195-242.


(26) Statistical Mechanics and the Jones Polynomial, In Braids, Contemp. Math. Pub. 78, American Mathe-matical Society (1988), pp. 263-297.

(27) (with J. Hart and D. Sandin) Ray tracing deterministic 3-D fractals. In Proceedings of SIGRAPH (1989).(28) Polynomial invariants in knot theory. Braid group, knot theory and statistical mechanics, 27–58, Adv. Ser.

Math. Phys., 9, World Sci. Publishing, Teaneck, NJ, 1989.(29) A Tutte Polynomial for signed graphs. Discrete Appl. Math. 25 (1989) no. 1-2, pp. 105-127.(30) An invariant of regular isotopy, Trans. AMS 318, No. 2 (1990), pp. 417-471.(31) Invariants of graphs in three-space. Trans. AMS 311, No. 2, Feb. 1989, 697-710.L.(32) Knots, abstract tensors and the Yang-Baxter equation, In ”Knots, Topology and Quantum Field Theories”,

edited by L. Lussana, World Scientific Pub. (1989), pp. 179-334.(33) Problems in knot theory. Open problems in topology, 487–522, North-Holland, Amsterdam, 1990.(34) Statistical mechanics and the Jones polynomial. New problems, methods and techniques in quantum field

theory and statistical mechanics, 175–209, Ser. Adv. Statist. Mech., 6, World Sci. Publishing, River Edge,NJ, 1990.

(35) Super Twist Spinning, in “Contribuciones matematicas en homenaje al profesor D. Antonio Plans Sanz deBremond”, edited by E. Martin-Peinador, A. Rods, Antonio Plans, Universidad de Zaragoza, 1990. pp.139 - 154.

(36) Spin networks and knot polynomials, Intl. J. Mod. Phys. A, Vol. 5, No. 1, (1990), pp. 93-115.(37) SL(2)q - Spin Networks. Twistor Newsletter ]32, pp. 10-14. (March 1991).(38) Map coloring and the vector cross product. J.Comb.Theo.B, vol. 48, no.2, April 1990, p. 145-154.(39) Knots, Spin Networks and 3-Manifold Invariants. In Knots 90. ed. by A. Kawauchi. Pub. W. de Gruyter.

1992. pp. 271-287.(40) (with S. Lins) A 3-manifold invariant by state summation. (announcement 1991).(41) (with H. Saleur) Free fermions and the Alexander-Conway polynomial. Comm. Math. Phys. 141, 293-327

(1991).(42) (with P. Vogel) Link polynomials and a graphical calculus. J. Knot Theo. and Ramif. , Vol 1, ]1, p. 59-104.

(1992)(43) Map Coloring, q-Deformed Spin Networks, and Turaev-Viro Invariants for 3-Manifolds. Intl. J. Mod.

Phys. B, Vol. 6, Nos. 11, 12 (1992), p. 1765-1794.(44) Knots and physics. article in book - New Scientific Applications of Geomtry and Topology. Proceedings

of Symposia in Applied Mathematics, Vol. 45. edited by D.W.Sumners. AMS Pub. (1992), p. 131-246.(45) (with H. Saleur) An algebraic approach to the planar coloring problem. Comm. Math. Phys., 150, pp.

1-26 (1993).(46) (with F. Jaeger and H. Saleur). The Conway polynomial in R3 and Thickened Surfaces - A new determinant

formula. ( in J. Comb. Theory 1994)(47) Kauffman, Louis H.; Radford, David E. A necessary and sufficient condition for a finite-dimensional

Drinfel?d double to be a ribbon Hopf algebra. J. Algebra 159 (1993), no. 1, 98114.(48) (with J. Simon, K. Wolcott, P. Zhao) Invariants of theta-curves and other graphs in 3-space. Topology and

its Applications 49 (1993), 193-216.(49) (with J. Goldman). Knots tangles and electrical networks. ( Advances in Applied Mathematics 14, 267-306

(1993))(50) From knots to quantum groups (and back). In Proceedings of the CRM Workshop on Hamiltonian Sys-

tems, Transformation Groups and Spectral Transform Methods. ed. by J.Harnad and J.E. Marsden. LesPublications CRM (1990). pp. 161-176. Expanded version in the book Quantum Groups, edited by T.Curtright, D. Fairlie and C. Zachos., World Sci. (1991).

(51) (with C. Anezeris, A.P. Balachandran and A.M. Srivastava). Novel statistics for strings and string ’ChernSimons’ terms. Int. J. Mod. Phys. A, Vol. 6, No. 14 (1991), pp. 2519-2558.

(52) Spin Networks, Topology and Discrete Physics. ( in the second edition of ”Braid Group, Knot Theory andStatistical Mechanics” ed. by Yang and Ge, World Sci. Pub. (1994))

(53) Gauss Codes , Quantum Groups and Ribbon Hopf algebras, Reviews in Mathematical Physics, Vol. 5,No.4 (1993), 735-773.


(54) (with D. Radford) Invariants of 3-manifolds derived from finite dimensional Hopf algebras. Journal ofKnot Theory and its Ramifications, Vol.4, No. 1 (1995), pp. 131-162.

(55) (with R. Baadhio). Link manifolds and global gravitational anomalies. Reviews in Mathematical Physics,Vol. 5, No. 2 (1993), 331-343.

(56) (with L. Crane and D. Yetter). Evaluating the Crane-Yetter invariant. (In Quantum Topology, ed. byKauffman and Baadhio), pp. 131-138.

(57) Introduction to quantum topology. In Quantum Topology, ed. by Kauffman and Baadhio. World Sci. Pub.(1993), pp. 1-77.

(58) (with S. Lins). Computing Turaev-Viro invariants for 3-manifolds. Manuscripta Math. 72, pp. 81-94(1991).

(59) (with G.K.Francis). Air on the Dirac Strings (in the proceedings of the conference held in honor of WilhelmMagnus - 1992) AMS Contemporary Mathematics Series No. 169 (1994), pp.261-276.

(60) (with Y. Magarshak) Vassiliev Invariants and a Proposal for the Study of RNA Structure . In Knots andApplications - ed. by L.Kauffman, World Sci. Pub. (1994).

(61) (with Y. Magarshak). Graph invariants and the topology of RNA folding. Journal of Knot Theory and itsRamifications, Vol3,No.3, pp. 233-246.

(62) Knot Logic. In Knots and Applications ed. by L. Kauffman, World Scientific Pub. (1994), pp. 1-110.(63) Vassiliev Invariants and the loop states of quantum gravity. In the Proceedings of the Quantum Gravity

Conference held at Univ. of Calif. at Riverside, May 1993 - ”Knots and Quantum Gravity”, ed. by JohnBaez, Oxford University Press. (1994) ,pp. 77-95.

(64) Space and time in computation, topology and discrete physics, In ”Proceedings of the Workshop on Physicsand Computation - PhysComp ’94, Nov. 1994, Dallas, Texas. IEEE Computer Society Press, pp. 44-53.

(65) Functional Integration and the Theory of Knots. Journal of Mathematical Physics, Vol. 36 (5), May 1995,pp. 2402-2429.

(66) On Finiteness of Certain Vassiliev Invariants, (with Masahico Saito and Steve Sawin), Journal of KnotTheory and Its Ramifications, Vol. 6, No. 2 (1997), pp. 291-297.

(67) Discrete Physics and the Derivation of Electromagnetism from the Formalism of Quantum Mechanics,(with H. P. Noyes) , Proceedings of the Royal Soc. London A, Vol. 452 (1996), pp. 81-95.

(68) Quantum Electrodynamic Birdtracks. Twistor Newsletter No. 41. (1996)(69) Hopf algebras and invariants of 3-manifolds. Journal of Pure and Applied Algebra, Vol. 100 (1995), pp.

73-92.(70) Knots and complex systems. In Complex Systems and Binary Networks, ed. by Waelbroeck et al.,

Springer-Verlag (1995), pp. 33-76.(71) Discrete physics and the Dirac equation (with H. P. Noyes), Physics Lett. A, No. 218 (1996), pp. 139-146.(72) Tangle complexity and the topology of the Chinese rings. in ”Mathematical Approaches to Biomolecular

Structure and Dynamics” edit. by Mesirov, Shulten and Sumners. IMA Volume 82, Springer Verlag(1996).

(73) Knot Theory and Statistical Mechanics, International Journal of Modern Physics B, Vol. 11, Nos. 1,2(1997), pp. 39-49.

(74) Noncommutativity and discrete physics. - announcement in ”PhysComp96- Proceedings of the FourthWorkshop on Physics and Computation, Boston University, 22-24 Nov. 1996.” edited by Toffoli andBiafore, New England Complex Systems Institute Pub.(1996). (to appear in Physica D: Nonlinear Phe-nomena, Elsevier Pub.)

(75) Invariants of links and 3-manifolds via Hopf algebras. in the Proceedings of the Conference on Geometryand Topology - Aarhus - Summer 1995, Marcel Dekker Pub. 1996.

(76) State Sum Invariants of 4-Manifolds (with L. Crane and D. Yetter) - Journal of Knot Theory and ItsRamifications, Vol.6 No. 2 (April 1997), pp. 177-234.

(77) Rational Tangles. (with Jay Goldman), Advances in Applied Math. , Vol. 18, (1997), pp. 300-332.(78) Knots and Electricity. In the Proceedings of Knots ’96 (Tokyo), World Sci. Pub.,1997. pp. 213 - 230.(79) Knots and Diagrams. In Lectures at Knots ’96 (Tokyo) ed. by S. Suzuki, World Sci. Pub. (1997), pp.

123-194.


(80) Functional Integration and the Theory of Knots. pp. 2402 - 2429. J. Math. Physics. May 1995. Vol 36 No.5. Special Issue on Functional Integration. Amer. Inst. of Physics. Special Editor Cecile DeWitt Morette.

(81) An Introduction to Knot Theory and Functional Integrals. In Functional Integration - Basics and Applica-tions. edited by C. DeWitt Morette and Pierre Cartier and Antoine Folacci. Nato ASI Series B: PhysicsVol. 361. Plenum Press. pp. 247 - 308. (1997)

(82) Hypercomplex Fractal Distance Estimation. (with Yumei Dang) In the proceedings of ”Fractal ’97 - FourthInternational Working Conference, April 8-11, Denver, Colorado, USA. ”Fractal Frontiers” ed. by Novakand Dewey, World Scientific (1997). pp. 117-130.

(83) Untangling knots by stochastic energy optimization (with Milana Huang and Robert Grezewszczuk) - InProceedings of IEEE Conference on Visualization, (1996), pp. 279-286.

(84) Self-repelling knots and local energy minima. (with Milana Huang and Robert Greszczuk) Topology andgeometry in polymer science (Minneapolis, MN, 1996), 29–36, IMA Vol. Math. Appl., 103, Springer,New York, 1998.

(85) Diagrammatics, Singularities and Their Algebraic Interpretations. (with Scott Carter and Masahico Saito)- Lecture Notes. 10-th Brasilian Topology Meeting, Sao Carlos, July 22-26, 1996, Mat. Contemp. 13(1997) pp. 21-115.

(86) An elementary proof that all spanning surfaces of a link are tube-equivalent.(with Dror Bar-Natan andJason Fulman) J. Knot Theory Ramifications 7 (1998), no. 7, 873–879.

(87) Centrality and the KRH invariant. (with David Radford and Steve Sawin) J. Knot Theory Ramifications 7(1998), no. 5, 571–624.

(88) Spin networks and topology. The geometric universe (Oxford, 1996), 277–289, Oxford Univ. Press,Oxford, 1998.

(89) Spin networks and the bracket polynomial. Knot theory (Warsaw, 1995), 187–204, Banach Center Publ.,42, Polish Acad. Sci., Warsaw, 1998.

(90) Diagrammatics, singularities, and their algebraic interpretations. (with Scott Carter and Masahico Saito)10th Brazilian Topology Meeting (Sao Carlos, 1996). Mat. Contemp. 13 (1997), 21–115.

(91) Statistical Mechanics and Knot Theory - In ”Knot Theory and Its Applications – Special Issue of ChaosSolitons and Fractals edited by C. Adams and M. Nasche, Vol. 9, Number 4/5, April/May (1998), pp.599-621.

(92) Quantum Algebra Structures on n x n Matrices. (with David Radford) Journal of Algebra. Vol 213, (1999).pp. 405 - 436.

(93) Witten’s Integral and the Kontsevich Integral. in ”Particles Fields and Gravitation” edited by Jakub Rem-blelinski – Published by the American Institute of Physics (1998). pp. 368 - 381.

(94) Noncommutativity and Discrete Physics, Physica D 120 (1998), pp. 125 - 138.(95) Space and time in computation and discrete physics, Intl. J. Gen. Systems , Vol. 27, Nos 1-3 (1998), pp.

249 -273.(96) Hearst, John E., Kauffman, Louis H. and McClain, W. Martin. A simple mechanism for the avoidance of

entanglement during chromosome replication. Trends in Genetics, June 1998, Vol. 14, No. 6, pp. 244-247.(97) Fourier Knots. (in the book ”Ideal Knots” edited by Stasiak, Katrich and Kauffman, World Sci. Pub. 1998,

pp. 364-373)(98) Virtual Knot Theory , European J. Comb. (1999) Vol. 20, 663-690.(99) Functional Integration and the Kontsevich Integral. In the Proceedings of the APCTP-Nankai Symposium

on Yang-Baxter Systems, Non-Linear Models and their Applicatons. This conference was held in Seoul,Korea in October 1998.

(100) Combinatorics and Topology - Francois Jaeger’s Work in Knot Theory Annales de L’Institut Fourier Uni-versite Joseph Fourier, Grenoble, Tome 49(1999)-Faisicule 3, 927-953.

(101) On the Links-Gould Invariant of Links(with D. De Witt and J. Links) , JKTR, Vol. 8, No. 2 (1999),165-199.

(102) Structures and Diagrammatics of Four Dimensional Topological Lattice Field Theories(with S. Carter andM. Saito), Advances in Math. Vol. 146 (1999), 39-100.


(103) Knots and Graphs I - Arc Graphs and Colorings (with F. Harary), Advances in Applied Math. Vol. 22(1999), 312-337.

(104) Nodi e Fisica, Enciclopedia Italiana (1999), 450-462.(105) Right Integrals and Invariants of Three-Manifolds, Proceedings of Conference in Honor of Robion Kirby’s

60th Birthday, Geometry and Topology Monographs, Vol. 2, 215-232.(106) A Survey of Virtual Knot Theory in ”Proceedings of Knots in Hellas ’98”, World Sci. Pub. 2000 , pp.

143-202.(107) Path Integrals and Discrete Physics , in Aspects I in Proceedings of ANPA 19, Keith Bowden Editor, pp.

33-40.(108) Louis H. Kauffman and David E. Radford, A Separation Result for Quantum Coalgebras with an Applica-

tion to Pointed Quantum Coalgebras of Small Dimension, J. of Algebra, Vol. 225 (1999), 161-200.(109) On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras (with D.

Radford), AMS Contemp. Math. Series, Volume 267, (2000), 177-194.(110) (with David Radford) Quantum algebras, quantum coalgebras, invariants of 1-1 tangles and knots. Comm.

Algebra 28 (2000), no. 11, 5101–5156.(111) Three Dimensional Topology and Quantum Physics, in ”Geometry at Work - Paper in Applied Geometry”,

Catherine A. Gorini, Editor, MAA Notes Number 53, pp. 162-173 (2000).(112) Knot theory and the heuristics of functional integration. Physica A 281 (2000) 173-200.(113) On the Map Theorem. Discrete Math. 229 (2001) 171-184.(114) Functional Integration, Kontsevich Integral and Formal Integration. J. Korean Math. Soc. 38 (2001), No.

2, pp. 437-468.(115) Louis H. Kauffman, An introduction to knot theory. in ”An Introduction to the Geometry and Topology of

Fluid Flows” ed. by Renzo Ricca, pp. 77-104. (2001) Kluwer Pub.(116) Louis H. Kauffman and David E. Radford. Oriented quantum algebras and invariants of knots and links.

Journal of Algebra 246, pp. 253-291 (2001).(117) Louis H. Kauffman and David E. Radford. Qriented quantum algebras, categories and invariants of knots

and links. JKTR, Vol. 10, No. 7 (2001), pp. 1047-1084.(118) Louis H. Kauffman, Detecting virtual knots. Atti Sem. Mat. Fix. Univ. Modena, Supplemento al Vol. IL,

241-282 (2001).(119) The Brasilian knot trick (with M.E. Borelli) , in “Puzzlers’ Tribute” edited by David Wolfe and Tom

Rogers, A. K. Peters Pub. (2002), p. 91-96.(120) Louis H. Kauffman, Knots. article for Encyclopedia of Physical Science and Technology, Third Edition,

Volume 8, (2002) pp. 199-245.(121) Louis H. Kauffman , Biologic. AMS Contemporary Mathematics Series, Vol. 304, (2002), pp. 313 - 340.(122) Louis H. Kauffman, Quantum computing and the Jones polynomial. AMS Contemp. Math. Series, Vol.

305, (2002), pp. 101-137.(123) Louis H. Kauffman, Quantum topology and quantum computing. AMS Contemp. Math. Series, Vol. 58

(2002), pp. 273-303.(124) Samuel J. Lomonanco, Jr. and Louis H. Kauffman. Quantum Hidden Subgroup Algorithms: A Mathemat-

ical Perspective. AMS Contemp. Math. Series, Vol. 305, (2002), pp. 139-202.(125) Louis H. Kauffman. Time imaginary value, paradox sign and space. in Computing Anticipatory Systems,

CASYS - Fifth International Conference, Liege, Belgium (2001) ed. by Daniel Dubois, AIP ConferenceProceedings Volume 627 (2002).

(126) Louis H. Kauffman and Hector Sabelli, Mathematical bios. Kybernetes, Vol 31 No. 9/10 (2002), pp. 1418- 1428.

(127) Lomonaco, Samuel J., Jr., and Louis H. Kauffman, Quantum hidden subgroup problems: A mathematicalperspective, AMS CONM, vol. 305, (2002), 139 - 202. http://xxx.lanl.gov/abs/quant-ph/0201095

(128) Louis H. Kauffman and Sofia Lambropoulou, Classifying and applying rational knots and rational tangles.in “Physical knots: knotting, linking and folding geometric objects in R3 (Las Vegas, NV 2001), 223-258,Contemp. Math. Ser. 304, AMS, Prov. RI (2002).


(129) Louis H. Kauffman and Robin Thomas, Temperley-Lieb algebras and the four-color theorem. Combina-torica 23 (2003), no. 4, 653–667

(130) L.H. Kauffman and S.J. Lomonaco Jr., Continuous quantum hidden subgroup algroithms , in QuantumInformation and Computation - Spie Proceedings, 21-22 April, 2003,Orlando, FL, Donkor, Pinch andBrandt (eds.),Intl. Soc. Opt. Eng, Volume 5105, pp. 80–89.

(131) Shalom Eliahou, Louis H. Kauffman and Morwen B. Thistlethwaite. Infinite families of links with trivialJones polynomial. Topology (42) (2003) pp. 155-169.

(132) Louis H. Kauffman and Sofia Lambropoulou, On the classification of rational knots. LEnseignementMathematiques, 49 (2003), 357-410.

(133) Louis H. Kauffman and Sofia Lambropoulou, On the classification of rational tangles. Advances in Ap-plied Mathematics, 33, No. 2 (2004), 199237.

(134) Louis H. Kauffman and Sofia Lambropoulou, From tangle fractions to DNA, in ”Topology in MolecularBiology”, Proceedings of the International Workshop and Seminar on Topology in Condensed MatterPhysics, Dresden, 16-23 June 2002. edited by M. Monastyrsky, pp. 69 - 108.

(135) Kauffman, Louis H.; Lomonaco, Samuel J., Jr. Quantum entanglement and topological entanglement.New J. Phys. 4 (2002), 73.173.18.

(136) Louis H. Kauffman and David Hrencecin. On filamentations and virtual knots. in Topology and Its Appli-cations, 134 (2003), 23-52.

(137) Louis H. Kauffman and David E. Radford. Bioriented quantum algebras and a generalized Alexanderpolynomial for virtual links. in ”Diagrammatic Morphisms and Applications (San Fransico, CA 2000),113-140. contemp. Math. 318, AMS, Providence, RI (2003)

(138) Louis H. Kauffman, Masahico Saito and Michael C. Sullivan, Quantum invariants of templates. J. KnotTheory Ramifications 12 (2003), no. 5, 653–681.

(139) L. Kauffman, P. Noyes, J. Lindsay and Walter Lamb. On Ed Jones’ Microcosmology, (SLAC Pub 920,Jan-uary 2003) in ”Boundaries - Proceedings of the 24th Annual International Meeting of the AlternativeNatural Philosophy Association”, Wesley House, Jesus Lane, Cambridge, September 2002. Published byANPA c/o Dr. K. Bowden, Theo. Phy. Res. Unit, Birkbeck College, Malet St., London WCIE 7HX. pp.129-148.

(140) L. Kauffman. Non-commutative calculus and discrete physics. (arxiv:quant-ph/030305 v1 11 Mar 2003)in in ”Boundaries - Proceedings of the 24th Annual International Meeting of the Alternative Natural Phi-losophy Association”, Wesley House, Jesus Lane, Cambridge, September 2002. Published by ANPA c/oDr. K. Bowden, Theo. Phy. Res. Unit, Birkbeck College, Malet St., London WCIE 7HX. pp. 73-128.

(141) Louis H. Kauffman and Samuel J. Lomonaco, Braiding Operators are Universal Quantum Gates, NewJournal of Physics 6 (2004) 134, pp. 1-39.

(142) Lomonaco, Samuel J., Jr., and Louis H. Kauffman, Quantum hidden subgroup algorithms: The devil is inthe details, Proc. SPIE, (2004). http://xxx.lanl.gov/abs/quant-ph/0403229”

(143) Louis H. Kauffman, Non-commutative Worlds, New Journal of Physics 6 (2004) 173.1 - 173.47. (Shortversion in ”Spin, Proceedings of ANPA 25”, Keith Bowden - editor, Pub. May 2004)

(144) Louis H. Kauffman,math.CO/0112266, Reformulating the map color theorem. Discrete Math. 302 (2005),no. 1-3, 145–172.

(145) Louis H. Kauffman, Minimal flat knotted ribbons. ”Physical and Numerical Models in Knot Theory“,495–506, Ser. Knots Everything, 36, World Sci. Publ., Singapore, 2005.

(146) Louis H. Kauffman, math.GT/0405049, A self-linking invariant of virtual knots. Fund. Math. 184 (2004),135–158.

(147) Louis H. Kauffman, math.GN/0410329, Knot diagrammatics. ”Handbook of Knot Theory“, edited byMenasco and Thistlethwaite, 233–318, Elsevier B. V., Amsterdam, 2005.

(148) Louis H. Kauffman and Heather A. Dye, Virtual knot diagrams and the Witten-Reshetikhin-Turaev invari-ant. math.GT/0407407, J. Knot Theory Ramifications 14 (2005), no. 8, 1045–1075.

(149) Louis H. Kauffman and Samuel J. Lomonaco Jr., A continuous variable Shor algorithm. Coding theoryand quantum computing, 97–108, Contemp. Math., 381, Amer. Math. Soc., Providence, RI, 2005.


(150) Louis H. Kauffman, Roger Fenn, and Vassily O. Manturov, Virtual knot theory—unsolved problems.math.GT/0405428, Fund. Math. 188 (2005), 293–323.

(151) Louis H. Kauffman, Yong Zhang and Mo-Lin Ge, Yang-Baxterizations, universal quantum gates andHamiltonians. Quantum Inf. Process 4 (2005), no. 3, 159–197.

(152) Louis H. Kauffman, Yong Zhang and Mo-Lin Ge, Universal quantum gate, Yang-Baxterization and Hamil-tonian. Int. J. Quantum Information Vol. 3, No. 4 (2005), 1-10.

(153) Louis H. Kauffman, The mathematics and physics of knots. Rep. Progr. Phys. 68 (2005), no. 12, 2829–2857.

(154) Louis H. Kauffman and Sofia Lambropoulou, Virtual braids. Fund. Math. 184 (2004), 159–186.(155) Louis H. Kauffman and Samuel J. Lomonaco Jr., Quantum knots, in Quantum Information and Computa-

tion II – Proceedings of Spie, 12 -14 April 2004 (2004), ed. by Donkor Pirich and Brandt, Intl. Soc. Opt.Eng, pp. 268-284.

(156) Louis H. Kauffman, Roger Fenn and Mercedes Jordan-Santana, Biquandles and virtual links, Topologyand its Applications 145 (2004), p. 157-175.

(157) Louis H. Kauffman, Eigenform, Kybernetes - The Intl J. of Systems and Cybernetics 34, No. 1/2 (2005),Emerald Group Publishing Ltd, p. 129-150.

(158) Louis H. Kauffman, Biologic II, in “Woods Hole Mathematics” edited by Nils tongring and R. C. Penner,World Scientific Series on Knots and Everything Vo.34 (2004), p. 94-132.

(159) Louis H. Kauffman, Vassiliev Invariants and Functional Integration without Integration, in “StochasticAnalysis and Mathematical Physics - The Mathematical Legacy of R. P. Feynman”, edited by RloandoRebolledo, Jorge Rezende and Jean-Claude Zambrini, 91 - 114, World Scientific (2004).

(160) Louis H. Kauffman, Non-Commutative Worlds – A Summary, quant-ph/0503198, (in Proceedings ofANPA (2004).

(161) Louis H. Kauffman, Teleportation Topology, quant-ph/0407224, (in the Proceedings of the 2004 ByelorusConference on Quantum Optics), Opt. Spectrosc. 9, 2005, 227-232.

(162) Louis H. Kauffman, Fibonacci form and beyond. Forma 19 (special issue edited by Jay Kappraff) (2004),no. 4, 315–334.

(163) Louis H. Kauffman and Heather A. Dye,math.GT/0401035, Minimal surface representations of virtualknots and links. Algebr. Geom. Topol. 5 (2005), 509–535.

(164) Louis H. Kauffman and Vassily Manturov, Virtual Biquandles, Fundamenta Mathematicae, 188 (2005),103-146.

(165) Louis H. Kauffman and Nikolai A. Krylov, math.GT/0308277, Kernel of the variation operator and peri-odicity of open books. Topology Appl. 148 (2005), no. 1-3, 183–200.

(166) Louis H. Kauffman and Tomas Liko, hep-th/0505069, Knot theory and a physical state of quantum gravity,Classical and Quantum Gravity, Vol 23, R63-R90 (2006).

(167) (with Sam Lomonaco) Spin Networks and anyonic topological computing, In “Quantum Information andQuantum Computation IV”, (Proceedings of Spie, April 17-19,2006) edited by E.J. Donkor, A.R. Pirichand H.E. Brandt, Volume 6244, Intl Soc. Opt. Eng., pp. 62440Y-1 to 62440Y-12.

(168) (with Sam Lomonaco) Topological Quantum Computing and the Jones Polynomial, In “Quantum Infor-mation and Quantum Computation IV”, (Proceedings of Spie, April 17-19,2006) edited by E.J. Donkor,A.R. Pirich and H.E. Brandt, Volume 6244, Intl Soc. Opt. Eng., pp. 6240Z-1 to 624OZ-18.

(169) Kaufman, L. Kh.; Manturov, V. O. Virtual knots and links. (Russian) Tr. Mat. Inst. Steklova 252 (2006),Geom. Topol., Diskret. Geom. i Teor. Mnozh., 114–133. (proceedings of the Keldysh conference held in2004).

(170) Kauffman, Louis H.; Lambropoulou, Sofia, Virtual braids and the L-move. J. Knot Theory Ramifications15 (2006), no. 6, 773–811.

(171) Kauffman, Louis H.; Lambropoulou, Sofia Unknots and molecular biology. Milan J. Math. 74 (2006),227–263.

(172) Kauffman, Louis H. Knots. in “Geometries of nature, living systems and human cognition”, 131–202,World Sci. Publ., Hackensack, NJ, 2005.


(173) Kauffman, Louis H. Glafka-2004: Non-commutative worlds. Internat. J. Theoret. Phys. 45 (2006), no. 8,1443–1470.

(174) Kauffman, Louis H.; Lambropoulou, Sofia Unknots and molecular biology. Milan J. Math. 74 (2006),227–263. 57M25

(175) Kauffman, Louis H. Topology and quantum information. Differential geometry and physics, 273–282,Nankai Tracts Math., 10, World Sci. Publ., Hackensack, NJ, 2006. 81P15 (81P68)

(176) Kauffman, Louis H. Differential geometry in non-commutative worlds. Quantum gravity, 61–75, BirkhŁuser,Basel, 2007. (81T75)

(177) Kauffman, Louis H.; Lomonaco, Samuel J., Jr. q-deformed spin networks, knot polynomials and anyonictopological quantum computation. J. Knot Theory Ramifications 16 (2007), no. 3, 267–332.

(178) Kauffman, Louis H.; Lambropoulou, S. Unknots and DNA. Current developments in mathematical biol-ogy, 39–68, Ser. Knots Everything, 38, World Sci. Publ., Hackensack, NJ, 2007. 92D10 (57M25 92C4092E10)

(179) Kauffman, Louis H. State models for knot polynomials—an introduction. J. Knot Theory Ramifications16 (2007), no. 7, 899–928. 57M25

(180) Kauffman, Louis Quantum topology and quantum information. Intelligence of low dimensional topology2006, 123–131, Ser. Knots Everything, 40, World Sci. Publ., Hackensack, NJ, 2007. 81P68 (57Rxx)

(181) Kauffman, Louis; Lambropoulou, Sofia The L-move and virtual braids. Intelligence of low dimensionaltopology 2006, 133–142, Ser. Knots Everything, 40, World Sci. Publ., Hackensack, NJ, 2007. 57M25

(182) Hrencecin, David; Kauffman, Louis H. Biquandles for virtual knots. J. Knot Theory Ramifications 16(2007), no. 10, 1361–1382. 57M27 (57M25)

(183) L. H. Kauffman and S. Lambroupoulou, Unknots and DNA. Current developments in mathematical bi-ology, 39–68, ed. by K. Mahdavi, R. Culshaw, J. Bucher, Ser. Knots Everything, 38, World Sci. Publ.,Hackensack, NJ, (2007).

(184) (with Sam Lomonaco) Quantum Topology and quantum computing, in “Mathematics of Quantum Compu-tation and Quantum Technology” edited by Goong Chen, L. H. Kauffman and S. J. Lomonaco, Chapmanand Hall/CRC Applied Mathematics and Nonlinear Science Series (2008), pp. 409-504.

(185) (with Sam Lomonaco) Spin Networks and anyonic topological computing II, in “Quantum Informationand Quantum Computation V”, Proceedings of Spie, April 2007, edited by E.J. Donkor, A.R. Pirich andH.E. Brandt, pp. 64730U1-13, Volume 6573, Intl. Soc. Opt. Eng. (2007).

(186) (with Sam Lomonaco) A Three-stranded quantum algorithm for the Jones polynonmial, in “QuantumInformation and Quantum Computation V”, Proceedings of Spie, April 2007, edited by E.J. Donkor, A.R.Pirich and H.E. Brandt, pp. 65730T1-17, Intl Soc. Opt. Eng.

(187) (with Yong Zhang) Permutation and Its Partial Transpose, IJQI, Vol.5, No.4 (2007)469-507(188) (with Yong Zhang) Topological-Like Features in Diagrammatical Quantum Circuits, Quant.Inf.Proc.7:3-

32,(2008).(189) (with Bruce Richter) A Polynomial Invariant of Flat Virtual Links, JKTR 17 (5): 521-528 (2008).(190) (with Sam Lomonaco) Topological quantum computing and SU(2) braid group representations (to appear

in “Quantum Information and Quantum Computation VI”, Proceedings of Spie, March 2008, edited byE.J. Donkor, A.R. Pirich and H.E. Brandt, Intl Soc. Opt. Eng.)

(191) Kauffman, Louis H., and Samuel J. Lomonaco, Spin networks and quantum computation, in ”Lie Theoryand Its Applications in Physics,” Proc. of the VII International Workshop, Varna, Bulgaria, 18-24 June2007, edited by H. D. Doebner and V. K. Dobrev, Heron Press Science Series (2008), pp. 225-239.

(192) Lomonaco, Samuel J., Jr., and Louis H. Kauffman, Is Grover’s Algorithm a Quantum Hidden Subgroup Al-gorithm, Journal of Quantum Information Processing, Vol. 6, No. 6, (2007), 461-476. http://xxx.lanl.gov/abs/quant-ph/0603140.

(193) Kauffman, Louis H. and Samuel J. Lomonaco, Jr., A 3-Stranded Quantum Algorithm for the Jones Poly-nomial, Proc. SPIE, vol. 6573, (2007), 65730T-1 -65730T-13. http://arxiv.org/abs/0706.0020

(194) Lomonaco, Samuel J., Jr., and Louis H. Kauffman, Topological Quantum Computing and the Jones Poly-nomial, Proc. SPIE, Vol. 6244, (2006), http://xxx.lanl.gov/abs/quant-ph/0605004


(195) Kauffman, Louis H., and Samuel J. Lomonaco, Jr., Spin Networks and Anyonic Topological Computing,Proc. SPIE, Vol. 6244, (2006), http://xxx.lanl.gov/abs/quant-ph/0603131

(196) Kauffman, Louis H. Pendulum traced curves and damped oscillations in the plane. J. Knot Theory Rami-fications 16 (2007), no. 10, 1451–1457.

(197) Kauffman, Louis H., Ge, Mo-Lin; Xue, Kang Berry phase in Yang-Baxter approach related to entangledstates and the Yang-Baxterization of braid relation for two-state anyon model. Topology and physics,107–121, Nankai Tracts Math., 12, World Sci. Publ., Hackensack, NJ, 2008.

(198) Kauffman, Louis H., and Samuel J. Lomonaco, Unitary Representations of the Artin Braid Groups andQuantum Algorithms for Colored Jones Polynomials and the Witten-Reshetikhin-Turaev Invariants, in”Topology and Physics - Proceedings of the Nankai International Conference in Memory of Xia-SongLin,” ed. by K. Lin, Z. Wang, and W. Shang, Nankai Tracts in Mathematics, Vol. 12, (2008), pp. 172-194.

(199) Kauffman, Louis H., and Samuel J. Lomonaco, Topological Quantum Computing and SU(2) Braid GroupRepresentations, Proc. SPIE on Quantum Information and Computation VI, Vol. 6976, (2008), pp.69760M-1 to 69760M-13.

(200) Kauffman, L. H.; Lomonaco, S. J., Jr. Spin networks and quantum computation. Bulg. J. Phys. 35 (2008),no. 4, 241–256.

(201) Lomonaco, Samuel J., and Louis H. Kauffman, Quantum Knots and Mosaics, Journal of Quantum Infor-mation Processing, Vol. 7, Nos. 2-3, (2008), pp. 85 - 115. http://arxiv.org/abs/0805.0339

(202) Kauffman, Louis H., and Samuel J. Lomonaco, The Fibonaccii Model and the Temperley-Lieb Algebra,International Journal Modern Phys. B, Vol. 22, No. 29, (2008), 5065-5080.

(203) Lomonaco, Samuel J., and Louis H. Kauffman, A Quantum Manual for Computing the Jones Polynomial,Proc. SPIE on Quantum Information and Computation VI, Vol. 6976, (2008), pp. 69760K-1 to 69760K-4.

(204) Kauffman, Louis H.; Lopes, Pedro, On the minimum number of colors for knots. Adv. in Appl. Math. 40(2008), no. 1, 36–53.

(205) Lune Free Knot Diagrams (with Shalom Eliahou and Frank Harary), Journal of Knot Theory and ItsRamifications (JKTR) (2008) Vol: 17 Issue: 1 (January 2008) Page: 55 - 74.

(206) Invariants of Welded Virtual Knots Via Crossed Module Invariants of Knotted Surfaces. Louis H. Kauff-man, Joo Faria Martins. math.GT arXiv:0704.1246 . Compositio Math. 144(4): 1046-1080 (2008).

(207) An Extended Bracket Polynomial for Virtual Knots and Links. JKTR, Vol. 18, No. 10 (October 2009).Page: 1369 - 1422. arXiv:0712.2546

(208) L. H. Kauffman and H. A. Dye, Virtual Crossing Number and the Arrow Polynomial, JKTR, Vol. 18, No.10 (October 2009). Page: 1335-1357.

(209) Kauffman, Louis H.; Lopes, Pedro, Determinants of rational knots. Discrete Math. Theor. Comput. Sci.11 (2009), no. 2, 111–122.

(210) Kauffman, Louis H. Knots and physics. Applications of knot theory, 81–120, Proc. Sympos. Appl. Math.,66, Amer. Math. Soc., Providence, RI, 2009.

(211) Kauffman, Louis H, Bilson-Thompson, Sundance; Hackett, Jonathan; . Particle topology, braids, andbraided belts. J. Math. Phys. 50 (2009), no. 11, 113505, 16 pp

(212) Kauffman, L. H.; Lomonaco, S. J., Jr. Topology and quantum computing. Entanglement and decoherence,87156, Lecture Notes in Phys., 768, Springer, Berlin, 2009.

(213) Kauffman, Louis H.; Lambropoulou, Sofia Tangles, rational knots and DNA. Lectures on topological fluidmechanics, 99138, Lecture Notes in Math., 1973, Springer, Berlin, 2009.

(214) Louis H. Kauffman, Reflexivity and Eigenform – The Shape of Process. - Kybernetes, Vol 4. No. 3, July2009.

(215) Berger, Mitchell A.; Kauffman, Louis H.; Khesin, Boris; Moffatt, H. Keith; Ricca, Renzo L.; Sumners,De Witt Lectures on topological fluid mechanics. Papers from the lectures given at the C.I.M.E. SummerSchool held in Cetraro, July 210, 2001. Edited by Ricca. Lecture Notes in Mathematics, 1973. Springer-Verlag, Berlin; Fondazione C.I.M.E., Florence, 2009.

(216) (with H. Dye) Virtual homotopy, JKTR, Vol. 19, No. 7(2010), 935- 960.(217) Louis H. Kauffman, Reflexivity, Eigenform and Foundations of Physics. In Reflexivity, Proceedings of

ANPA 30, Arleta D. Ford, Editor , Published by ANPA, June 2010, pp. 158-222.


(218) Louis H. Kauffman, Reflexivity and Foundations of Physics, In Search for Fundamental Theory - The VIIthIntenational Symposium Honoring French Mathematical Physicist Jean-Pierre Vigier, Imperial College,London, UK, 12-14 July 2010 , editied by R. Amoroso, P. Rowlands and S. Jeffers, AIP - AmericanInstitute of Physics Pub., Melville, N.Y., pp.48-89.

(219) L. H. Kauffman and S. J. Lomonaco, Quantum algorithms for the Jones polynomial. In Brandt, Donkor,Pirich, editors, Quantum Information and Comnputation VIII - Spie Proceedings, April 2010, Vol. 7702,of Proceedings of Spie, pp. 770203-1 to 770203-11, SPIE 2010.

(220) Kauffman, Louis H.; King, Simon; Manturov, Vassily Olegovich; Przytycki, Jozef H. Preface [Proceedingsof the conference held in honor of the 60th birthday of Oleg Yanovich Viro]. Held in Oberwolfach, May410, 2008. J. Knot Theory Ramifications 19 (2010), no. 2, vix, 57-06.

(221) Lomonaco, Samuel J.; Kauffman, Louis H. Quantum knots and mosaics. Quantum information science andits contributions to mathematics, 177208, Proc. Sympos. Appl. Math., 68, Amer. Math. Soc., Providence,RI, 2010.

(222) Lomonaco, Samuel J.; Kauffman, Louis H. Quantum knots and lattices, or a blueprint for quantum systemsthat do rope tricks. Quantum information science and its contributions to mathematics, 209276, Proc.Sympos. Appl. Math., 68, Amer. Math. Soc., Providence, RI, 2010.

(223) Kauffman, Louis H.; Lomonaco, Samuel J., Jr. Topological quantum information theory. Quantum in-formation science and its contributions to mathematics, 103176, Proc. Sympos. Appl. Math., 68, Amer.Math. Soc., Providence, RI, 2010.

(224) NMR Quantum Calculations of the Jones Polynomial. Raimund Marx, Amr Fahmy, Louis Kauffman,Samuel Lomonaco, Andreas Sprl, Nikolas Pomplun, John Myers, Steffen J. Glaser. Phys Rev 81, 03239,2010. Quant Phys. arXiv:0909.1080

(225) L. H. Kauffman and S. J. Lomonaco, Quantum algorithms for the Jones polynomial. In Brandt, Donkor,Pirich, editors, Quantum Information and Comnputation VIII - Spie Proceedings, April 2010, Vol. 7702,of Proceedings of Spie, pp. 770203-1 to 770203-11, SPIE 2010.

(226) Lomonaco, Samuel J.; Kauffman, Louis H. Quantum knots and lattices, or a blueprint for quantum systemsthat do rope tricks. Quantum information science and its contributions to mathematics, 209276, Proc.Sympos. Appl. Math., 68, Amer. Math. Soc., Providence, RI, 2010.

(227) Lomonaco, Samuel J.; Kauffman, Louis H. Quantum knots and mosaics. Quantum information science andits contributions to mathematics, 177208, Proc. Sympos. Appl. Math., 68, Amer. Math. Soc., Providence,RI, 2010.

(228) Dye, H. A.; Kauffman, Louis H. Virtual homotopy. J. Knot Theory Ramifications 19 (2010), no. 7,935960.

(229) Dye, H. A.; Kauffman, Louis H. Anyonic topological quantum computation and the virtual braid group. J.Knot Theory Ramifications 20 (2011), no. 1, 91102.

(230) L. H. Kauffman, A quantum model for the Jones polynomial, Khovanov homology and generalized sim-plicial homology. In Koslover, Mahdavi and Brown, editors, Cross Disciplinary Advances in QuantumComputing, Vol. 536,Contemporary Mathematics, pp. 75-94, AMS, American Mathematical Society,2011.

(231) Kauffman, Louis H. Topological quantum information, Khovanov homology and the Jones polynomial.Topology of algebraic varieties and singularities, 245264, Contemp. Math., 538, Amer. Math. Soc.,Providence, RI, 2011.

(232) . L. H. Kauffman, H. Dye and V. O. Manturov, (Chapeter 4) On two categorifications of the arrow poly-nomial for virtual knots. In M. Banagl and C. Vogel, editors, The Mathematics of Knots, Theory andApplication, Vol. 1, Contributions in Mathematical and Computational Sciences, pp. 95-124, HeidelbergUniversity, Springer-Verlag, 2011.

(233) L. H. Kauffman, Topological quantum information, Khovanov homology and the Jones polynonmial. in J.Colludo-Agustin and E. Hironaka, editors, Topology of Algebraic Varieties and Singularities - Conferencein Honor of Anatoly Libgober’s 60-th Birthday, Vol. 538 of Contemporary Mathematics, pp. 245-264,AMS, American Mathematical Society, 2011.


(234) (with Sofia Lambropoulou), Hard unknots and collapsing tangles. in “Introductory Lectures in Knot The-ory”, K&E Series Vol. 46, edited by Kauffman, Lambropoulou, Jablan and Przytycki, World Scientiic2011, pp. 187 - 247.

(235) Khovanov Homology. in “Introductory Lectures in Knot Theory”, K&E Series Vol. 46, edited by Kauff-man, Lambropoulou, Jablan and Przytycki, World Scientiic 2011, pp. 248 - 280.

(236) S. J. Lomonaco and L. H. Kauffman, Quantizing braids and other mathematical structures: the generalquantization procedure. In Brandt, Donkor, Pirich, editors, Quantum Information and Comnputation IX -Spie Proceedings, April 2011, Vol. 8057, of Proceedings of Spie, pp. 805702-1 to 805702-14, SPIE 2011.

(237) L. H. Kauffman and S. J. Lomonaco, Quantizing knots groups and graphs. In Brandt, Donkor, Pirich,editors, Quantum Information and Comnputation IX - Spie Proceedings, April 2011, Vol. 8057, of Pro-ceedings of Spie, pp. 80570T-1 to 80570T-15, SPIE 2011.

(238) “Introductory Lectures in Knot Theory”, K&E Series Vol. 46, edited by Kauffman, Lambropoulou, Jablanand Przytycki, World Scientiic 2011, 520 pages.

(239) Kauffman, Louis H.; Lambropoulou, Sofia A categorical structure for the virtual braid group. Comm.Algebra 39 (2011), no. 12, 46794704.

(240) Kauffman, Louis; Radford, David E. Oriented quantum algebras and coalgebras, invariants of oriented 11tangles, knots and links. Cross disciplinary advances in quantum computing, 95132, Contemp. Math.,536, Amer. Math. Soc., Providence, RI, 2011.

(241) Bhandari, Kumud; Dye, H. A.; Kauffman, Louis H. Lower bounds on virtual crossing number and minimalsurface genus. The mathematics of knots, 3143, Contrib. Math. Comput. Sci., 1, Springer, Heidelberg,2011.

(242) Dye, H. A.; Kauffman, Louis H. Anyonic topological quantum computation and the virtual braid group. J.Knot Theory Ramifications 20 (2011), no. 1, 91102.

(243) Kauffman, Louis H. Introduction to virtual knot theory. J. Knot Theory Ramifications 21 (2012), no. 13,1240007, 37 pp.

(244) Kaestner, Aaron M.; Kauffman, Louis H. Parity, skein polynomials and categorification. J. Knot TheoryRamifications 21 (2012), no. 13, 1240011, 56 pp.

(245) Louis H. Kauffman. Categorical pairs and the indicative shift. Applied Mathematics and Computation,218:7989-8004, 2012.

(246) Louis H. Kauffman and Pedro Lopes. The Teneva game. JKTR, Vol. 21(No. 14):17 pages, 2012.(247) A. Kaestner and L. H. Kauffman. Parity biquandles. for Special Issue of JKTR on Virtual Knot Theory.

2012. http://front.math.ucdavis.edu/1103.2825(248) Louis H. Kauffman. Introduction to virtual knot theory. J. Knot Theory Ramifications 21 (2012), no. 13,

1240007, 37 pp.(249) Louis H. Kauffman, Sofia Lambropoulou, Slavik Jablan and Jozef H. Przytycki. Khovanov homology. In

Introductory lectures in knot theory, pages 248-280. World Scientific, 2012.(250) Louis H. Kaufman and Sofia Lambropoulou. Hard unknots and collapsing tangles. In Introductory lectures

in knot theory, pages 187-247. World Scientific, 2012.(251) Louis H. Kauffman. Remarks on khovanov homology and the potts model. In Perspectives in analysis,

geometry, and topology: on the occasion of the 60th birthday of oleg viro (Progress in mathematics), pages237-262. BirkhŁuser/Springer, New York, 2012.

(252) Sundance Bilson-Thompson, Jonathan Hackett, Louis Kauffman and Wan Yidun. Emergent braided matterof quantum geometry. SIGMA, 8(014):DOI 10.3842/SIGMA.2012.014, 2012.

(253) Sundance Bilson-Thompson, Jonathan Hackett, Louis Kauffman and Wan Yidun. Emergent braided matterof quantum geometry. SIGMA, 8(014):DOI 10.3842/SIGMA.2012.014, 2012.

(254) Louis H. Kauffman, Slavik Jablan, Ljiljana Radovic and Radmila Sazdanovic. Reduced relative tutte,kauffman bracket and jones polynomials of virtual link families. 2012.

(255) Louis H. Kauffman. The Russell Operator. Constructivist Foundations, 7(2):112-115, 2012.(256) L. H. Kauffman and S. Lambropoulou, A categorical structure for the virtual braid group, Communications

in Algebra, 39:12, (2011) pp. 4679-4704.


(257) L. H. Kauffman, Eigenforms, discrete processes and quantum processes. in “Journal of Physics: Confer-ence Series The open access journal for conferences EmerQuM11: Emergent Quantum Mechanics 2011”(Heinz von Foerster Congress), Vienna Austria 11-13 November 2011, edited by Gerhard Grossing, Vol.361 (2012), IOP Publishing, 012034. http://front.math.ucdavis.edu/1109.1892

(258) L. H. Kauffman and S. J. Lomonaco, Quantum algorithms for the Jones polynomial and Khovanov homol-ogy, in Brandt, Donkor, Pirich, editors, Quantum Information and Comnputation X - Spie Proceedings,April 2012, Vol. 8400, of Proceedings of Spie, pp. 84000V-1 to 84000V-15, SPIE 2012.

(259) Kauffman, Louis H.; Lopes, Pedro The Teneva game. J. Knot Theory Ramifications 21 (2012), no. 14,1250125, 17 pp.

(260) Kaestner, Aaron M.; Kauffman, Louis H. Parity, skein polynomials and categorification. J. Knot TheoryRamifications 21 (2012), no. 13, 1240011, 56 pp.

(261) Kauffman, Louis H.; Lambropoulou, Sofia A categorical model for the virtual braid group. J. Knot TheoryRamifications 21 (2012), no. 13, 1240008, 48 pp.

(262) Kauffman, Louis H. Introduction to virtual knot theory. J. Knot Theory Ramifications 21 (2012), no. 13,1240007, 37 pp.

(263) Schulte-Herbrggen, Thomas; Marx, Raimund; Fahmy, Amr; Kauffman, Louis; Lomonaco, Samuel; Khaneja,Navin; Glaser, Steffen J. Control aspects of quantum computing using pure and mixed states. Philos. Trans.R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 370 (2012), no. 1976, 46514670.

(264) Kauffman, Louis H. Categorical pairs and the indicative shift. Appl. Math. Comput. 218 (2012), no. 16,79898004.

(265) Kauffman, Louis H. Following knots down their energy gradients. Symmetry 4 (2012), no. 2, 276284.(266) Louis H. Kaufman and Sofia Lambropoulou. Hard unknots and collapsing tangles. In “Introductory lec-

tures on knot theory”, pages 187-247. Ser. Knots Everything, 46, World Sci. Publ., Hackensack, NJ,(2012).

(267) Kauffman, Louis H. Khovanov homology. “Introductory lectures on knot theory”, 248280, Ser. KnotsEverything, 46, World Sci. Publ., Hackensack, NJ, (2012).

(268) Bilson-Thompson, Sundance; Hackett, Jonathan; Kauffman, Louis; Wan, Yidun Emergent braided matterof quantum geometry. SIGMA Symmetry Integrability Geom. Methods Appl. 8 (2012), Paper 014, 43 pp.

(269) Kauffman, Louis H.; Lambropoulou, Sofia Hard unknots and collapsing tangles. Introductory lectures onknot theory, 187247, Ser. Knots Everything, 46, World Sci. Publ., Hackensack, NJ, (2012).

(270) Kauffman, Louis H. Remarks on Khovanov homology and the Potts model. Perspectives in analysis,geometry, and topology, 237262, Progr. Math., 296, BirkhŁuser/Springer, New York, (2012).

(271) Folwaczny, Lena C.; Kauffman, Louis H. A linking number definition of the affine index polynomial andapplications. J. Knot Theory Ramifications 22 (2013), no. 12, 1341004, 30 pp.

(272) Kauffman, Louis H. An affine index polynomial invariant of virtual knots. J. Knot Theory Ramifications22 (2013), no. 4, 1340007, 30pp/

(273) Kauffman, Louis H.; Jablan, Slavik; Radovic, Ljiljana; Sazdanovic, Radmila, Reduced relative Tutte,Kauffman bracket and Jones polynomials of virtual link families. J. Knot Theory Ramifications 22 (2013),no. 4, 1340003, 12 pp.

(274) Kauffman, Louis H.; Mishra, Rama Nodal parity invariants of knotted rigid vertex graphs. J. Knot TheoryRamifications 22 (2013), no. 4, 1340002, 21 pp.

(275) Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro On the maximum number of colors for links. J. KnotTheory Ramifications 22 (2013), no. 3, 1350013, 19 pp.

(276) Kauffman, Louis H.; Jablan, Slavik V. A note on amphicheiral alternating links. J. Knot Theory Ramifica-tions 22 (2013), no. 1, 1250136, 8 pp.

(277) Kauffman, Louis H. Knots and physics. Fourth edition. Series on Knots and Everything, 53. WorldScientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013. xviii+846 pp. ISBN: 978-981-4383-01-1

(278) Kauffman, Louis H.; Mishra, Rama Nodal parity invariants of knotted rigid vertex graphs. J. Knot TheoryRamifications 22 (2013), no. 4, 1340002, 21 pp.


(279) L. H. Kauffman and S. J. Lomonaco, Extended topological quantum computing, in Brandt, Donkor, Pirich,editors, Quantum Information and Comnputation XI - Spie Proceedings, May 2013, Vol. 8749, of Proceed-ings of Spie, pp. 87490C-1 to 87490C-12, SPIE 2013.

(280) Marius Buliga and Louis H Kauffman, Chemlambda, universality and self-multiplication, In ”ArtificialLife 14 -Proceedings of the Fourteenth International Conference on the Synthesis and Simulation of LivingSystems”, Edited by Hiroki Sayama, John Rieffel, Sebastian Risi, Ren Doursat and Hod Lipson, MIT Press(2014). 8 pages.

(281) Virtual Knot Cobordism (In the book “New Ideas in Low Dimensional Topology”, edited by Kauffmanand Manturov, World Scientific (2014)).

(282) Henrich, Allison; Kauffman, Louis H.; Unknotting Unknots. Amer. Math. Monthly 121 (2014), no. 5,379390.

(283) Louis H Kauffman, Non-commutative worlds and classical constraints, In ”Scientific Essays in Honor ofH Pierre Noyes on the Occasion of his 90th Birthday”, edited by John C Amson and Louis H Kauffman,World Sci. Pub. Co. (2014).

(284) Fenn, Roger; Ilyutko, Denis P.; Kauffman, Louis H.; Manturov, Vassily O. Unsolved problems in virtualknot theory and combinatorial knot theory. Knots in Poland III. Part III, 961, Banach Center Publ., 103,Polish Acad. Sci. Inst. Math., Warsaw, 2014.

(285) Kauffman, Louis H.; Manturov, Vassily O. A graphical construction of the sl(3) invariant for virtual knots.Quantum Topol. 5 (2014), no. 4, 523539.

(286) Ge, Jun; Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro Equivalence classes of colorings. Knots inPoland III. Part III, 6376, Banach Center Publ., 103, Polish Acad. Sci. Inst. Math., Warsaw, 2014.

(287) Kaestner, Aaron; Kauffman, Louis H. Parity biquandles. Knots in Poland. III. Part 1, 131151, BanachCenter Publ., 100, Polish Acad. Sci. Inst. Math., Warsaw, 2014.

(288) L. H. Kauffman and S. J. Lomonaco, Quantum diagrams and quantum networks, in Brandt, Donkor, Pirich,editors, Quantum Information and Comnputation XII - Spie Proceedings, May 2014, Vol. 9123, of Pro-ceedings of Spie, pp. 91230P-1 to 91230P-14, SPIE 2014.

(289) Kauffman, Louis H.; Ogasa, Eiji Local moves on knots and products of knots. Knots in Poland III. PartIII, 159209, Banach Center Publ., 103, Polish Acad. Sci. Inst. Math., Warsaw, 2014.

(290) Kauffman, Louis Hirsch; Manturov, Vassily Olegovich Graphical constructions for the sl(3), C2 and G2invariants for virtual knots, virtual braids and free knots. J. Knot Theory Ramifications 24 (2015), no. 6,1550031, 47 pages.

(291) Kauffman, Louis H. Infinite computations and the generic finite. Appl. Math. Comput. 255 (2015), 2535.(292) Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro The delunification process and minimal diagrams.

Topology Appl. 193 (2015), 270289.(293) Kauffman, Louis H. Rotational virtual knots and quantum link invariants. J. Knot Theory Ramifications

24 (2015), no. 13, 1541008, 46 pp.(294) Louis H Kauffman, Virtual knot cobordism. In ”New Ideas in Low Dimensional Topology, edited by L H

Kauffman and V O Manturov, World Sci Pub Co (2015)(295) Crowe, Donald; Darvas, Gyrgy; Huylebrouck, Dirk; Kappraff, Jay; Kauffman, Louis; Lambropoulou,

Sofia; Przytycki, Jozef; Radovic, Ljiljana; Sazdanovic, Radmila; de Spinadel, Vera W.; Zekovic, Ana;Symmetry Editorial Office In memoriam: Slavik Jablan 19522015. Symmetry 7 (2015), no. 3, 12611274.

(296) Louis H Kauffman, Iterants, Fermions and Majorana Operators. In ”Unified Field Mechanics - NaturalScience Beyond the Veil of Spacetime”, edited by R. Amoroso, L. H. Kauffman, P. Rowlands, WorldScientific Pub. Co. (2015). pp. 1-32.

(297) L. H. Kauffman and S. J. Lomonaco, Diagrammatic quantum mechanics , in Donkor, Pirich, Haydukeditors, Quantum Information and Comnputation XIII - Spie Proceedings, April 2015, Vol. 9500, ofProceedings of Spie, pp. 95000W-1 to 95000W-14, SPIE 2015.

(298) Self-Reference, Biologic and the Structure of Reproduction, Progress in Biophysics and Molecular Biol-ogy, Special Issue edited by Plamen Semenov,Volume 119, Issue 3, December 2015, p. 382-409. DateSubmitted: June 1, 2015 Date Accepted: August 2015, Date Published: December 1, 2015


(299) Kauffman, Louis H. Chern-Simons theory, Vassiliev invariants, loop quantum gravity and functional inte-gration without integration. Internat. J. Modern Phys. A 30 (2015), no. 35, 1530067, 27 pp.

(300) Kauffman, Louis H. Rotational virtual knots and quantum link invariants. J. Knot Theory Ramifications24 (2015), no. 13, 1541008, 46 pp.

(301) Knot logic: logical connection and topological connection, in “Mind in Mathematics: Essays on Cognitionand Mathematical Method”, edited by M. Bockarova, M. Danesi, D. Martinovic and R. Nunez, (2015),Interdisciplinary Studies on the Nature of Mathematics - Fields Institute Network, pp 33-57.

(302) Louis H. Kauffman . Knot logic and topological quantum computing with majorana fermions. In “Logicand algebraic structures in quantum computing and information”, Lecture Notes in Logic, J. Chubb, J.Chubb, Ali Eskandarian, and V. Harizanov, editors, 124 pages Cambridge University Press (2016).

(303) Kauffman, Louis H.; Silvero, Marithania; AlexanderConway polynomial state model and link homology.J. Knot Theory Ramifications 25 (2016), no. 3, 1640005, 8 pp.

(304) Kauffman, Louis H.; Lambropoulou, Sofia; Sazdanovic, Radmila Remembering Slavik Jablan. With re-membrances. J. Knot Theory Ramifications 25 (2016), no. 9, 1602002, 20 pages.

(305) Louis H. Kauffman, A state calculus for graph coloring, Illinois Journal of Mathematics, Volume 60,Number 1, Spring 2016, Pages 251271 S 0019-2082 (Special Issue of the Illinois J. Math. celebratingWolfgang Haken)

(306) Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro Delta diagrams. J. Knot Theory Ramifications 25(2016), no. 9, 1641008, 19 pp.

(307) Chmutov, Sergei V.; Karev, Maksim V.; Kauffman, Louis H.; Przytycki, Jozef H. Editorial [Special Issuein memory of Sergei Duzhin (19562015)]. J. Knot Theory Ramifications 25 (2016), no. 12, 1602004, 3pp. 57-06

(308) Allison Henrich and Louis H. Kauffman,”Tangle Insertion Invariants for Pseudoknots, Singular Knots, andRigid Vertex Spatial Graphs”, (to appear in Proceedings of MAA Course on Applications of Knot Theory)Date Submitted: March 10, 2016,Date Accepted: April 2016.

(309) in The unknotting problem, “Open Problems in Mathematics” edited by J. F. Nash Jr. and M. Rassias,Springer Verlag (2016), pp 303-346.

(310) Zekovic, Ana; Jablan, Slavik; Kauffman, Louis; Sazdanovic, Radmila; Stosic, Marko, Unknotting andmaximum unknotting numbers. J. Knot Theory Ramifications 25 (2016), no. 9, 1641010, 43 pp.

(311) Jablan, Slavik; Kauffman, Louis H.; Lopes, Pedro Delta diagrams. J. Knot Theory Ramifications 25(2016), no. 9, 1641008, 19 pp.

(312) L. H. Kauffman and S. J. Lomonaco, Braiding with Majorana Fermions , in Donkor, Pirich, Haydukeditors, Quantum Information and Comnputation XIV - Spie Proceedings, April 2016, Vol. xxxx, of Pro-ceedings of Spie, pp. xxxxx-1 to xxxxx-14, SPIE 2016.

(313) L. H. Kauffman and S. J. Lomonaco, Braiding, Majorana Fermions and Topological Quantum Computing, (to appear in Special Issue of QIP on Topological Quantum Computing) (2016).

(314) An Introduction to Khovanov Homology, in ” Knot Theory and Its Applications”, editied by K. Gongopad-hyay and R. Mishra, AMS Contemporary Mathematics Series number 670, (2016) pp. 105-139.

(315) Knot Theory, in ” Knot Theory and Its Applications”, editied by K. Gongopadhyay and R. Mishra, AMSContemporary Mathematics Series number 670, (2016) pp. 3-62.

(316) Dye, Heather A.; Kaestner, Aaron; Kauffman, Louis H.; Khovanov homology, Lee homology and a Ras-mussen invariant for virtual knots. J. Knot Theory Ramifications 26 (2017), no. 3, 1741001, 57 pp. ( inJKTR in 2016 in a Special Issue in honor of Jozef Przytycki)

(317) Tian, Wei; Lei, Xue; Kauffman, Louis H.; Liang, Jie A knot polynomial invariant for analysis of topologyof RNA stems and protein disulfide bonds. Mol. Based Math. Biol. 5 (2017), 2130.

(318) Hsieh, Chun-Chung; Kauffman, Louis; Tsau, Chichen M. A combinatorial algorithm for computing higherorder linking numbers. Asian J. Math. 21 (2017), no. 2, 265286.

(319) Gugumcu, Neslihan; Kauffman, Louis H. New invariants of knotoids. European J. Combin. 65 (2017),186229.


(320) Kauffman, Louis H.; Lopes, Pedro Preface [Special issue: Proceedings of the special session ”Low-dimensional topology and its relationships with physics”, held at the first AMS/EMS/SPM meeting inPorto, Portugal, June 1013, 2015]. J. Knot Theory Ramifications 26 (2017), no. 9, 1702004, 2 pp.

(321) Kauffman, Louis H. Braiding and Majorana fermions. J. Knot Theory Ramifications 26 (2017), no. 9,1743001, 21 pp.

(322) Ge, Jun; Jin, Xian’an; Kauffman, Louis H.; Lopes, Pedro; Zhang, Lianzhu Minimal sufficient sets of colorsand minimum number of colors. J. Knot Theory Ramifications 26 (2017), no. 9, 1743008, 16 pp.

(323) Kauffman, Louis H.; Lopes, Pedro Infinitely many prime knots with the same Alexander invariants. J.Knot Theory Ramifications 26 (2017), no. 9, 1743009, 13 pp.

(324) Kauffman, Louis H. Iterant algebra. Entropy 19 (2017), no. 7, Paper No. 347, 30 pp.(325) Nazarimehr, Fahimeh; Jafari, Sajad; Hashemi Golpayegani, Seyed Mohammad Reza; Kauffman, Louis

H. Investigation of bifurcations in the process equation. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 27(2017), no. 13, 1750201, 18 pp.

(326) Gugumcu, Neslihan; Kauffman, Louis H. On the height of knotoids. Algebraic modeling of topologicaland computational structures and applications, 259281, Springer Proc. Math. Stat., 219, Springer, Cham,2017.

(327) Kholodenko, Arkady L.; Kauffman, Louis H. Huygens triviality of the time-independent Schrdinger equa-tion. Applications to atomic and high energy physics. Ann. Physics 390 (2018), 159.

(328) Kauffman, Louis H.; Lopes, Pedro Colorings beyond Fox: the other linear Alexander quandles. LinearAlgebra Appl. 548 (2018), 221258.

(329) Kauffman, Louis H.; Lomonaco, Samuel J. Braiding, Majorana fermions, Fibonacci particles and topolog-ical quantum computing. Quantum Inf. Process. 17 (2018), no. 8, Art. 201.

(330) Ge, Jun; Jin, Xian’an; Kauffman, Louis H.; Lopes, Pedro; Zhang, Lianzhu Answer to a question byNakamura, Nakanishi, and Satoh involving crossing numbers of knots. Osaka J. Math. 55 (2018), no. 3,523527.

(331) Kauffman, Louis H. Simplicial homotopy theory, link homology and Khovanov homology. J. Knot TheoryRamifications 27 (2018), no. 7, 1841002, 33 pp.

(332) Kauffman, Louis H. Majorana Fermions and representations of the braid group. Internat. J. Modern Phys.A 33 (2018), no. 23, 1830023, 28 pp.

(333) Deng, Qingying; Jin, Xian’an; Kauffman, Louis H. Graphical virtual links and a polynomial for signedcyclic graphs. J. Knot Theory Ramifications 27 (2018), no. 10, 1850054, 14 pp.

(334) Ellis-Monaghan, Joanna A.; Kauffman, Louis H.; Moffatt, Iain Edge colourings and topological graphpolynomials. Australas. J. Combin. 72 (2018), 290305.

(335) Kauffman, Louis H. Virtual knot cobordism and the affine index polynomial. J. Knot Theory Ramifications27 (2018), no. 11, 1843017, 29 pp.

(336) Kauffman, Louis H. Non-commutative worlds and classical constraints. Entropy 20 (2018), no. 7, PaperNo. 483, 25 pp.

(337) Kauffman, Louis H.; Mehrotra, Eshan Topological aspects of quantum entanglement. Quantum Inf. Pro-cess. 18 (2019), no. 3, Art. 76, 36 pp.

(338) Kauffman, Louis H.; Mehrotra, Eshan Topological aspects of quantum entanglement. Quantum Inf. Pro-cess. 18 (2019), no. 3, Art. 76, 36 pp.

(339) Deng, Qingying; Jin, Xian’an; Kauffman, Louis H. The generalized Yamada polynomials of virtual spatialgraphs. Topology Appl. 256 (2019), 136158.

(340) Najdanovic, Marija S.; Rancic, Svetozar R.; Kauffman, Louis H.; Velimirovic, Ljubica S. The total cur-vature of knots under second-order infinitesimal bending. J. Knot Theory Ramifications 28 (2019), no. 1,1950005, 12 pp.

(341) Louis H. Kauffman, Samuel J. Lomonaco Jr., ”Quantum knots and knotted zeros,” Proc. SPIE 10984,Quantum Information Science, Sensing, and Computation XI, 109840A (13 May 2019); doi: 10.1117/12.2518685


(342) Stathis Antoniou, Louis H. Kauffman, Sofia Lambropoulou, Topological surgery in the small and in thelarge, to appear in Knots, Low-Dimensional Topology and Applications - Selecta from the 2017 Con-ference in Hellas. edited by Adams, Gordon, Jones, Kauffman, Lambropoulou, Ricca and Szazdanovic.Springer-Verlag Publisher.

(343) Louis H. Kauffman, Virtual Knot Theory and Virtual Knot Cobordism, to appear in Knots, Low-DimensionalTopology and Applications - Selecta from the 2017 Conference in Hellas. edited by Adams, Gordon, Jones,Kauffman, Lambropoulou, Ricca and Szazdanovic. Springer-Verlag Publisher.

(344) Louis H. Kauffman and Sofia Lambropoulou, Extending the classical skein, to appear in Knots, Low-Dimensional Topology and Applications - Selecta from the 2017 Conference in Hellas. edited by Adams,Gordon, Jones, Kauffman, Lambropoulou, Ricca and Szazdanovic. Springer-Verlag Publisher.

(345) Neslihan Gugumcu, Louis H.Kauffman and Sofia Lambropoulou, A survey on knotoids, braidoids andtheir applications, to appear in Knots, Low-Dimensional Topology and Applications - Selecta from the2017 Conference in Hellas. edited by Adams, Gordon, Jones, Kauffman, Lambropoulou, Ricca and Szaz-danovic. Springer-Verlag Publisher.

(346) Louis H. Kauffman, Eiji Ogasa, Brieskorn submanifolds, local moves on knots and knot products. (ac-cepted for publication and to appear in JKTR).

(347) Stathis Antonio, Louis H. Kauffman, Sofia Lambropoulou, Topological surgery in cosmic phenomena,(accepted and to appear in Advances in Theoretical and Mathematical Physics).

(348) N. Gugumcu, L. H. Kauffman and S. Lambropoulou. Temperley-Lieb algebra and Jones polynomial forbraidoids (in preparation).

(349) Rukhsan Ul Haq, Louis H Kauffman. Z/2Z topological order and Majorana doubling in Kitaev Chain,arXiv:1704.00252

(350) Louis H. Kauffman, Sofia Lambropoulou. New invariants of links and their state sum models, arXiv:1703.03655(351) Louis H. Kauffman, Joel Isaacson. Recursive Distinctioning, arXiv:1606.06965(352) Louis H. Kauffman, Eiji Ogasa. Brieskorn submanifolds, Local moves on knots, and knot products,

arXiv:1504.01229(353) Louis H. Kauffman, Eiji Ogasa. Local moves on knots and products of knots II, arXiv:1406.5573(354) Arkady L. Kholodenko , Louis H. Kauffman ,How the modified Bertrand theorem explains regularities of

the periodic table I. From conformal invariance to Hopf mapping. arXiv:1906.05278(355) Kauffman L. and Collins, A. , The BF Calculus and the Square Root of Negation. arXiv:1905.12891(356) N. Gugumcu, L. H. Kauffman, Parity in Knotoids. arXiv:1905.04089(357) Kauffman L. and Lopes P., The Prevalence of Persistent Tangles. arXiv:1904.05951(358) Stathis Antoniou, Louis H. Kauffman, Sofia Lambropoulou. Topological surgery in cosmic phenomena.

arXiv:1812.00837(359) Stathis Antoniou, Louis H. Kauffman, Sofa Lambropoulou. Detecting and visualizing 3-dimensional

surgery. arXiv:1811.08384(360) Louis H. Kauffman, Eiji Ogasa, Jonathan Schneider. A spinning construction for virtual 1-knots and 2-

knots, and the fiberwise and welded equivalence of virtual 1-knots. arXiv:1808.03023

7.2. Books.(1) Formal Knot Theory, Lecture Notes Series No. 30, Princeton University Press (1983). Reprinted by Dover

Publications (2006).(2) Map Reformulaton. Princelet Editions (1985).(3) On Knots, Annals Study No. 115, Princeton University Press (1987).(4) Knots and Physics, World Scientific Publishers First Edition, Second Edition, Third Edition, Fourth Edi-

tion. Series on Knots and Everything 1, 53, World Scientific Publishing Co. Pte. Ltd., Singapore and RiverEdge and Hackensack, New Jersey 1991,1994,2001,2013,

(5) Temperley - Lieb Recoupling Theory and Invariants of 3-Manifolds. (with S. Lins). Princeton UniversityPress - 1994.

(6) Quantum Topology. (with Randy Baadhio) World Scientific (1993) (Collection of research papers).


(7) Knots and Applications. ( L. Kauffman, editor), World Scientific ( 1994) (Collection of research papers).(8) The Interface of Knots and Physics. (L. Kauffman, editor) American Mathematical Society short Course

Jan. 2-3, 1995, S.F. CA. AMS Proceedings of Symposia in Applied Math. Vol. 51.(9) Ideal Knots. edited by Stasiak, Katrich and Kauffman, World Sci. Pub. (1998), Vol 19 Series on K and E.

(414 pages)(10) Yumei Dang, Louis H. Kauffman, Daniel Sandin. Hypercomplex Iterations – Distance Estimation and

Higher Dimensional Fractals. World Scientific Pub. Co. K&E Series Number 17. (2002) 144 pages plusCD-ROM and website ¡http://www.evl.uic.edu/hypercomplex/¿.

(11) Intelligence of low dimensional topology 2006. Papers from the International Conference (ILDT 2006)held at Hiroshima University, Hiroshima, July 22–26, 2006. Edited by J. Scott Carter, Seiichi Kamada,Louis H. Kauffman, Akio Kawauchi and Toshitake Kohno. Series on Knots and Everything, 40. WorldScientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007. xiv+382 pp. ISBN: 978-981-270-593-8;981-270-593-7 57-06

(12) S. Jablan, L. Kauffman, S. Lambropoulou, J. Przytycki, “ Introductory lectures on knot theory,” 248280,Ser. Knots Everything, 46, World Sci. Publ., Hackensack, NJ, 2012.

(13) “Mathematics of Quantum Computation and Quantum Technology” edited by Goong Chen, L. H. Kauff-man and S. J. Lomonaco, Chapman and Hall/CRC Applied Mathematics and Nonlinear Science Series(2008)

(14) “Scientific Essays in Honor of H. Pierre Noyes on the Occasion of His 90-th Birthday”, edited by J. Amsonand L. H. Kauffman, Series on Knots and Everything Vol. 54 (2014).

(15) “New Ideas in Low Dimensional Topology”, edited by L. H. Kauffman and V. O. Manturov, Series onKnots and Everything Vol 56 (2015).

(16) “Unified Field Mechanics - Natural Science Beyond the Veil of Spacetime”, edited by R. Amoroso, L. H.Kauffman, P. Rowlands, World Scientific Pub. Co. (2015).

7.3. A Selection of Papers In Preparation.(1) Graphenes and Knots (with Scott Baldridge and William Rushworth)(2) Knot Diagrams as Higher Categories(3) An Alexander-Conway polynomial for knotoids.(4) Parity for Knotoids(5) Simplicial homotopy and Khovanov homology Specific Relationships.(6) Revisiting the Extended Bracket Polynomial(7) Rotational Welded Knots and the Rourke Construction for Tori in Four-Space(8) SU(3) Iterants

7.4. A Selection of Books in Preparation.(1) “Virtual Knot Theory ”.(2) “Topology, Knots and DNA”, monograph (with Sofia Lambropoulou and Dorothy Buck), Cambridge Uni-

versity Press.(3) “Knots and Functional Integration” (to be published by the AMS)(4) “The Sarasota Hexalogue” (L. H. Kauffman - editor) (conference transcript)(5) “Low Dimensional Topology and Modern Physics”, monograph (with Sofia Lambropoulou), Verlag Walter

de Gruyter.(6) “Encyclopedia of Knot Theory” (CRC Press) with E. Flapan, A. Henrich, S. Nelson and C. Adams.(7) “Explorations in Logical and Topological Form”(8) “Recursive Distinguishing”


7.5. Special Publications Related to Cybernetics.(1) Review of Laws of Form, Mathematical Reviews 54, (1977), 701-702.(2) Network Synthesis and Varela’s Calculus, International Journal of General Systems 4,(1978), 179-187.(3) (with F. Varela) Form dynamics, Journal of Social and Biological Structures (1980), 171 - 206.(4) Sign and Space, In Religious Experience and Scientific Paradigms. Proceedings of the 1982 IASWR

Conference, Stony Brook, New York: Institute of Advanced Study of World Religions, (1985), 118-164.(5) Map Reformulation. Princelet Edition No. 30: Princelet Editions: London(25 Princelet Street) and Zurich

(1986).(6) On the form of self-reference. In Systems Inquiry: Theory, Philosophy, Methodology. edited by Bela H.

Banathy. Intersystems Pub. (1985), 206-210.(7) Self-reference and recursive forms, Vol. 10, Journal of Social and Biological Structures (1987), 53-72.(8) Special relativity and a calculus of distinctions. Proceedings of the 9th Annual Intl. Meeting of ANPA,

Cambridge, England (1987). Pub. by ANPA West, pp. 290-311.(9) DeMorgan Algebras - Completeness and Recursion. Proceedings of the Eighth International Conference

on Multiple Valued Logic(1978), IEEE Computer Society Press, 82-86.(10) Complex numbers and algebraic logic. Proceedings of the Tenth International Conference on Multiple

Valued Logic(1980), IEEE Computer Society Press, 209-213.(11) Imaginary values in mathematical logic. Proceedings of the Seventeenth International Conference on

Multiple Valued Logic, May 26-28 (1987), Boston MA, IEEE Computer Society Press, 282-289.(12) Robbins Algebra. Proceedings of the Twentieth International Conference on Multiple Valued Logic(1990),

IEEE Computer Society Press, 54-60.(13) Knot automata. Proceedings of the Twenty-Fourth International Conference on Multiple Valued Logic-

Boston (1994), IEEE Computer Society Press, 328-333.(14) Knot set theory. (in Proceedings of Fall 1993 meeting of the American Society for Cybernetics)(15) Arithmetic in the form. Cybernetics and Systems, 26:1-57 (1995), pp. 1-57.(16) Ways of the game- play and position play. Cybernetics and Human Knowing Vol.2,No.3 (1994), pp.17-34.(17) Virtual Logic. Systems Research, Vol. 13 (Festschrift for Heinz von Foerster), No. 3, pp. 283-310 (1996).

A short version appears in ”10th IEEE Intl. Symposium on Intelligent Control”, Adrem Inc. Pub. (1995),pp. 89-98.

(18) Cybermath and Knots. In ”Communication and Anti-Communication” published by the Amer. Soc. forCybernetics, 1997.

(19) What is a number. In the Proceedings of the Conference of the American Society for Cybernetics, March1997, Urbana, Ill.

(20) (with Hector Sabelli) The Process Equation. Cybernetics and Systems, Vol. 29. (1998) pp. 345-362.(21) (with Hector Sabelli) The Process Equation: Formulation and Testing the Process Theory of Systems.

Cybernetics and Systems, Vol. 30,(1999), pp. 261-294.(22) (with Hector Sabelli) Bios – Creative Organization Beyond Chaos. In Proceedings of the 1999 Meeting of

the ISSS, edited by Bela Banathy.(23) What is a Number? Cybernetics and Systems, Vol. 30. (1999) pp. 113-130.(24) The mathematics of Charles Sanders Peirce. Cybernetics and Human Knowing, Vol. 8, Nos. 1-2, (2001),

79-110.(25) The Robbins Problem - Computer Proofs and Human Proofs, In Kybernetes - The International Journal

of Systems and Cybernetics – Special Issue - Gordon Pask, remembered and celebrated: Part I, editorsBernard Scott and Ranulph Glanville, Vol. 30, No. 5/6 (2001), pp. 726-751.

(26) (with Christina Weiss) Virtual logic - the key to Frege. Cybernetics and Human Knowing, Vol. 8, No. 4,2001, 75-86.

(27) Reflexivity and Eigenform – The Shape of Process. - Kybernetes, Vol 4. No. 3, July 2009.(28) Reflexivity, Eigenform and Foundations of Physics. In Reflexivity, Proceedins of ANPA 30, Arleta D.

Ford, Editor , Published by ANPA, June 2010, pp. 158-222.(29) L. H. Kauffman, Cybernetics, Reflexivity and Second-Order Science, in Constructivist Foundations, 11(3):489-

497, July 2016.


8. Teaching

(1) Seminar on Quantum Topology (relationships among topology, quantum groups, field theory – emphasison invariants of links and three manifolds): I organized this seminar in the fall of 1989. It ran successfully, with active participation from graduate students and faculty in our mathematics department, our physicsdepartment, and other universities (University of Chicago, Northwestern University, De Paul University).The present incarnation of this seminar is our seminar on Quantum Topology, originally organized bymyself and Dave Radford.

(2) Graduate course on Topological Visualization spring 1991.(3) Graduate course on Knots and Quantum Groups, 1992,1994,1996. This is a course of my own design. It

parallels the structure of my book Knots and Physics.(4) Extension course on Fractals and Recursive Forms, 1992.(5) Graduate course on Topological Quantum Field Theory, spring 1993, 1998.(6) Graduate course on Topological Visualization, spring 1994, spring 1997.(7) Graduate course on Knots,and Singularities of Complex Hypersurfaces, spring 1999.(8) Graduate courses on knot theory, spring 2000, spring 2001, spring 2003.(9) (2003-2004) One year graduate course on knot theory at the University of Waterloo, Waterloo, Canada.

(10) (Fall 2015) Course in Differential Geometry. Preliminary Notes for a book.(11) (Fall 2016) Cours in Elementary Number Theory with Many Examples including Knots. Preliminary notes

for a book.(12) (2006,2007,2008,2009, 2011,2015,2017) Graduate Courses in Knot Theory (and Quantum Information),

UIC.(13) Short Course in Knot Theory in Xiamen China (June 2016 and June 2019).(14) Short Course in Knot Theory in Beijing China (September 2019).(15) Short Course in Knot Theory in Akademgorodok, Russia (Fall 2018 and Fall 2019).

9. Graduate Students

(1) Wayne Zage, ”Hyberbolic Geometry and the Luneberg Theory of the Binocular Visual Space”, D.A. (1977)(co-advisor with D. Foulser).

(2) Steven Winker, ”Quandles, Knot Invariants and the n-fold Branched Cover” , Ph.D. - Univ. of Ill. atChicago (PhD. 1984).

(3) Randall Weiss, ”Detecting Ribbon Knots”, Ph.D. - Univ. of Ill. at Chicago (PH.D. 1987).(4) John Mathias (Ph.D. 1995)(5) Yumei Dang (Ph.D. 1996)(6) Advised Joanna Mason and Milana Huang (graduate students in the electronic visualization lab lab) on

a joint project with myself and Dan Sandin about computer visualization of surfaces in 4-space. Masonreceived masters degree (4d visualization) in 1995. Huang received masters degree (knot energies) in 1996.

(7) Advised Alan Verlo (graduate student in the electronic visualization lab) in a joint project about computervisualization of deformations of surfaces. Verlo received masters degree in 1995.

(8) Fernando Souza ”On the three-manifold invariants derived from Hopf objects” (Ph.D. 2002)(9) David Hrencecin”On filamentations and virtual knot invariants” (Ph.D. 2001)

(10) Heather Dye”Detection and characterization of virtual knot diagrams” (Ph.D. 2003)(11) Daniel Carillo (Masters degree 2010)(12) Aaron Kaestner (PhD 2011)(13) Dennis Smoot (PhD 2011) - coadvisor with Lewis Licht in Physics.(14) Jonathan Schneider (PhD 2016)(15) Lena Folwaczny (Master’s degree 2012)(16) David Simpson (PhD 2019)


10. Co-authors

(1) Milton Kerker, Clarkson Univ.(2) William Farone, Clarkson Univ.(3) Deborah Goldsmith, Univ. of Mich.(4) Alan Durfee, Smith College(5) Larry Taylor, Notre Dame(6) Pierre Vogel, Nanntes(7) Jay Goldman, Dept. of Mathematics, Univ. of Minn.(8) Sostenes Lins, Univ. de Pernambuco, Recife, Brasil(9) David Radford, Dept. of Mathematics, Univ. of Ill. at Chicago

(10) Hubert Saleur, Dept. of Physics, Yale University(11) Jon Simon, Dept. of Mathematics, Univ. of Iowa, Iowa City, Iowa(12) Yuri Magarshak, Dept. of Biomathematical Sciences, Mt. Sinai, New York, New York.(13) Louis Crane, Dept. Mathematics, Kansas State University, Manhattan, Kansas(14) David Yetter, Dept. Mathematics, Kansas State University, Manhattan, Kansas(15) Dan Sandin, Electonic Visualization Laboratory, Univ. of Ill. at Chicago(16) John Hart, Electonic Visualization Laboratory, Univ. of Ill. at Chicago(17) George Francis, Dept. of Math., Univ. of Ill. at Chanpaign-Urbana(18) Pierre Noyes, Stanford Linear Accelerator, Standford, CA.(19) John Hearst, Univ. of Calif. at Berkeley(20) Milana Huang, Univ. of Ill. at Chicago(21) Robert Grzeszczuk, Univ. of Chicago(22) Yumei, Dang, Univ. of Ill. at Chicago(23) Frank Harary, New Mexico State University(24) Maria Elisa Saraff Borelli, Frei Universitat, Berlin, Germany(25) David DeWit, University of Queensland, Queensland, Australia(26) Jon Links, University of Queensland, Queensland, Australia(27) Scott Carter, Univ. of South Alabama(28) Masahico Saito, Univ. of South Florida(29) Robin Thomas, Georgia Tech.(30) Shalom Eliahou, Univ. Littoral, Calais, France(31) Dror Bar-Natan, Hebrew Univ., Jerusalem(32) Jason Fulman, Dartmouth College(33) Chun-Chung Hsieh, Academica Sinica, Taipei, Taiwan(34) Christina Weiss, Bielefeld, Germany(35) Sofia Lambropoulou, National Technical University, Athens, Greece.(36) Neslihan Gugumcu, Athens(37) Stathis Antoniou, Athens(38) Samuel Lomonaco Jr., UMBC, Maryland.(39) Hector Sabelli, Chicago.(40) David Hrencecin, UIC Chicago.(41) Heather Dye, UIC Chicago.(42) Yong Zhang, Beijing.(43) Mo Lin Ge, Nankai Insititute.(44) Roger Fenn, Sussex, UK.(45) Vassily O. Manturov, Moscow State Univ., Moscow, Russia.(46) Tomas Liko.(47) Vassily Manturov(48) Heather Dye(49) Aaron Kaestner


(50) Eiji Ogasa(51) Joel Isaacson(52) Jonathan Schneider(53) David Simpson(54) Eshan Mehrota(55) Qingying Deng(56) Xian’an Jin

biographical data - louis h. kauffmanhomepages.math.uic.edu/~kauffman/lkvita.pdf · (17)winner of...

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